Are you on the hunt for the GCF of 12, 16, and 28? 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! Show 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 12, 16, and 28?": GCF of 12, 16, and 28 = 4 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 12, 16, and 28 those factors look like this:
As you can see when you list out the factors of each number, 4 is the greatest number that 12, 16, and 28 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 12, 16, and 28 we can see that the commonly occuring prime factors are 2 and 2. To calculate the prime factor, we multiply these numbers together: GCF = 2 x 2 = 4 Find the GCF Using Euclid's AlgorithmThe final method for calculating the GCF of 12, 16, and 28 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!
Sum Using the prime factor method, find the H.C.F. of 12, 16 and 28 Advertisement Remove all ads SolutionPrime factor of 12 = 2 x 2 x 3 Concept: Prime Factorization for HCF and LCM Is there an error in this question or solution? Advertisement Remove all ads Chapter 8: HCF and LCM - Exercise 8 (B) Q 2.5Q 2.4Q 3.1 APPEARS INSelina Class 6 Mathematics Chapter 8 HCF and LCM Advertisement Remove all ads Calculate Greatest Common Factor for :
12, 16 and 28 Factorize of the above numbers :12 = 22 • 316 = 24 28 = 22 • 7 Build a prime factors tableNumber of times each prime factorappears in the factorization of :
Greatest Common Factor is : 4 What are the factors of 12 16 and 28?The factors of 12, 16 and 28 are (1, 2, 3, 4, 6, 12), (1, 2, 4, 8, 16) and (1, 2, 4, 7, 14, 28) respectively. There are 3 commonly used methods to find the HCF of 12, 16 and 28 - prime factorization, Euclidean algorithm, and long division.
What is the HCF of 12 16 and 28?Answer: HCF of 12, 16 and 28 is 4. The HCF of three non-zero integers, x (12), y (16) and z (28), is the highest positive integer m (4) that divides x (12), y (16) and z (28) without any remainder. The methods to find the HCF of 12, 16 and 28 are explained below. HCF of 12, 16 and 28 can be represented as HCF of (HCF of 12, 16) and 28.
What is the LCM of 12 16 16 and 28?∴ LCM of (12, 16), (16, 28), (12, 28), and (12, 16, 28) is 48, 112, 84, and 336 respectively. Now, LHS = HCF (12, 16, 28) = 4.
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