answersLogoWhite

0


Best Answer

You can find the prime factors of all three numbers, combine (multiply) those numbers and remove redundant factors. So if your numbers are 4, 6 and 8, then those factors are (2*2), (3*2), and (2*2*2) respectively. The GCF is 24 or (2*2*2*3). This is because 24 can be written as a multiple of all three numbers because 24 can be written as a multiple of 2 4 and 6. (2*2*3*(2)) (2*3*(4)) and (2*2*(6)).

If this is still unclear you can check the Wikipedia Article on LCM.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you use prime factorization to find the GCF of three numbers?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you find the LCM of 16 63 and 75 using prime factorization?

The LCM of the given three numbers using prime factorization is 25200


How can you do prime factorization with prime numbers?

There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.


Find the prime factorization of the numbers 33?

The prime factorization of the number 33 is: 3 x 11


What is the greatest common factor of 54 81 and 135?

To find the greatest common factor of a set of numbers, do a prime factorization of each one, then multiply the prime factors that the numbers have in common. The prime factorization of 54 is: 2 x 3 x 3 x 3 The prime factorization of 81 is: 3 x 3 x 3 x 3 The prime factorization of 135 is: 3 x 3 x 3 x 5 All three numbers have three 3's in common as prime factors, so the GCF of all three numbers is: 3 x 3 x 3 = 27.


Find the greatest common factor of the numbers using prime factorization?

i dont know what that means does anyone get this"find the greatest common factor of the numbers using prime factorization We'll be eager to jump on it as soon as you give us the numbers.


Why you cannot find the prime factorization of 4.8?

Prime factors are only found in whole numbers or integers


What is the greatest common factor of 1820 and 637?

Writing down all the factors of both numbers requires too much time so it is not a good idea to find solution by writing each factor of both numbers. Method of prime factorization is one of the good methods to find GCF. Prime factorization is like breaking a number into other numbers, prime numbers, and this factorization is unique. Prime factorization is like a blueprint for numbers. Prime factorization of 1820 = 22 x 5 x 7 x 13 Prime factorization of 637 = 7 x 7 x 13 7, 13 and 7x13 are common in the prime factorization of both numbers, but 7x13 is the greatest among these numbers. So, 7x13 = 91 is the GCF of 1820 and 637.


How do you find the prime factorization of 18 and 21?

Draw the prime factorization table and put both the numbers on it. Find common prime factors and divide both of them writing the products down. Do this until the quotients are either 1 or any prime number. Write down all the factors used and it will be the prime factorization. Multiply them and you will find the LCM of the numbers. Here, 18,21 6,7...................(/3) Prime factorization=6*7*3 LCM=42*3=126


How do you find the prime factorization of large numbers?

The same way as with smaller numbers, it may take longer. Just keep dividing by prime numbers until all the factors are prime.


What method would you useto find he LCM of a group of four numbers?

Prime factorization.


How do you find the prime factorization of 165?

3 * 5 * 11 = 165 Divide by prime numbers until you get a final prime number


What is the prime factorization of 268?

find the prime factorization of 268