Greatest Common Factor of 444/71, 640/29, 324/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/71, 640/29, 324/37

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 444/71,640/29,324/37

Given fractions are 444/71,640/29,324/37

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 444,640,324

Greatest Common Factor of Numerators i.e. GCF of 444,640,324 is 4 .

LCM of Denominators means LCM of 71,29,37 as per the given fractions.

LCM of 71,29,37 is 76183 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,640,324

GCF of Fractions 444/71,640/29,324/37 is 4/76183

2 444, 640, 324
2 222, 320, 162
111, 160, 81

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 444,640,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,640,324 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 444,640,324 . The biggest common factor number is the GCF number.
So the greatest common factor 444,640,324 is 4.

Lets's calculate LCM of 71,29,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 76183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/76183

Therefore, the GCF of Fractions 444/71,640/29,324/37 is 4/76183

Least Common Multiple of 71,29,37 with GCF Formula

Least Common Multiple of 71,29,37 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 71,29,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,29,37) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,29,37) x common factors =1 x 1 = 1

LCM(71,29,37) = ( 71 × 29 × 37 ) / 1

LCM(71,29,37) = 76183 / 1

LCM(71,29,37) = 76183


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 444/71, 640/29, 324/37

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 444/71, 640/29, 324/37?

Answer: GCF of Numerators as per given numbers 444/71, 640/29, 324/37 is

GCF of Numerators i.e. for 444,640,324 is 4

LCM of denominators i.e. for 71,29,37 is 76183.

Thus, GCF of Fractions is 4/76183.Finally, GCF of Fractions for 444/71, 640/29, 324/37 is 4/76183.