 What is the GCF of 36 and 48? Show Compare factors to get GCF of 36 and 48 Per definition above, to find the GCF of 36 and 48, you can compare the factors of 36 with the factors of 48 to see which factor is the greatest. When we did that, we found that the Greatest Common Factor (GCF) of 36 and 48 is 12. Use LCM to get GCF of 36 and 48 The Least Common Multiple (LCM) of 36 and 48 is 144. You can find the GCF of 36 and 48 by dividing the product of 36 and 48 by the LCM of 36 and 48. Here is the formula and math:
Use computer spreadsheet to get GCF of 36 and 48 If you have a computer, you can also use a spreadsheet in Excel or Numbers to calculate the GCF of 36 and 48. You want to type =gcf(36, 48) into a cell to get the answer. gcf(36, 48) = 12 Use the GCF of 36 and 48 to simplify a fraction The GCF of 36 and 48 can be used for many things. You can, for example, simplify a fraction by dividing the numerator and denominator by the GCF like this: Use GCF of 36 and 48 to simplify a ratio Similarly, you can use the GCF of 36 and 48 to simplify a ratio by dividing each part of the ratio by the GCF like this: = 36 : 48 = (36 ÷ 12) : (48 ÷ 12) = 3 : 4 Use the GCF of 36 and 48 to find the LCM of 36 and 48 Since using the Least Common Multiple (LCM) is one of the ways to find the GCF of 36 and 48, you can use the GCF of 36 and 48 to find the LCM of 36 and 48. The LCM of 36 and 48 can, for example, be used to add and subtract fractions with denominators of 36 and 48. The LCM of 36 and 48 is the product of 36 and 48 divided by the GCF of 36 and 48. Here is the math:
That is all there is to it! We hope this page accomplished its goal of defining the GCF of 36 and 48 by showing you how to calculate the GCF, examples of its uses, and how it relates to LCM. GCF Calculator Use the GCF Calculator to solve a problem similar to the one explained on this page.GCF of 36 and 49 Here is the next GCF on our list that we have calculated and explained for you. Copyright | Privacy Policy | Disclaimer | Contact
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You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 36 and 48? or what is the highest common factor (HCF) of 36 and 48? What is the GCF of 36 and 48?The first step to find the gcf of 36 and 48 is to list the factors of each number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. So, the Greatest Common Factor for these numbers is 12 because it divides all them without a remainder. Read more about Common Factors below. See also:
The first step is to find all divisors of each number. For instance, let us find the gcf(36, 48). In this case we have:
The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 36 and 48 is 12. The GCF is the largest common positive integer that divides all the numbers (36, 48) without a remainder. In the name greatest common divisor, the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), greatest common measure, among others. So, the GCF is also known as:
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While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. The common factors of 36, 48, and 66 are 1, 2, 3, and 6. The factors of 36 are 1, 2, 3, 4, 6, 9,, 12, 18, and 36 The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 The factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66 So the common factors of 36, 48, and 66 are 1, 2, 3, and 6.
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Are you on the hunt for the GCF of 36 and 48? Since you're on this page I'd guess so! In this quick guide, we'll walk you through how to calculate the greatest common factor for any numbers you need to check. Let's jump in!
Want to quickly learn or show students how to find the GCF of two or more numbers? Play this very quick and fun video now! First off, if you're in a rush, here's the answer to the question "what is the GCF of 36 and 48?": GCF of 36 and 48 = 12 What is the Greatest Common Factor?Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. It's also commonly known as:
There are a number of different ways to calculate the GCF of a set of numbers depending how many numbers you have and how large they are. For smaller numbers you can simply look at the factors or multiples for each number and find the greatest common multiple of them. For 36 and 48 those factors look like this:
As you can see when you list out the factors of each number, 12 is the greatest number that 36 and 48 divides into. Prime FactorsAs the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors. List out all of the prime factors for each number:
Now that we have the list of prime factors, we need to find any which are common for each number. Looking at the occurences of common prime factors in 36 and 48 we can see that the commonly occuring prime factors are 2, 2, and 3. To calculate the prime factor, we multiply these numbers together: GCF = 2 x 2 x 3 = 12 Find the GCF Using Euclid's AlgorithmThe final method for calculating the GCF of 36 and 48 is to use Euclid's algorithm. This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators. If you want to learn more about the algorithm and perhaps try it yourself, take a look at the Wikipedia page. Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. Grab a pencil and paper and give it a try for yourself. (or just use our GCD calculator - we won't tell anyone!) Cite, Link, or Reference This PageIf you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
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What is the greatest common factor for 36 and 48
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