Greatest Common Factor of 956/73, 180/49, 126/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/73, 180/49, 126/364

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 956/73,180/49,126/364

Given fractions are 956/73,180/49,126/364

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 956,180,126

Greatest Common Factor of Numerators i.e. GCF of 956,180,126 is 2 .

LCM of Denominators means LCM of 73,49,364 as per the given fractions.

LCM of 73,49,364 is 186004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,180,126

GCF of Fractions 956/73,180/49,126/364 is 2/186004

2 956, 180, 126
478, 90, 63

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

Greatest Common Factor of 956,180,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,180,126 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 956,180,126 . The biggest common factor number is the GCF number.
So the greatest common factor 956,180,126 is 2.

Lets's calculate LCM of 73,49,364

7 73, 49, 364
73, 7, 52

∴ So the LCM of the given numbers is 7 x 73 x 7 x 52 = 186004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186004

Therefore, the GCF of Fractions 956/73,180/49,126/364 is 2/186004

Least Common Multiple of 73,49,364 with GCF Formula

Least Common Multiple of 73,49,364 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 73,49,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,49,364) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(73,49,364) x common factors =1 x 7 = 7

LCM(73,49,364) = ( 73 × 49 × 364 ) / 7

LCM(73,49,364) = 1302028 / 7

LCM(73,49,364) = 186004


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 956/73, 180/49, 126/364

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 956/73, 180/49, 126/364?

Answer: GCF of Numerators as per given numbers 956/73, 180/49, 126/364 is

GCF of Numerators i.e. for 956,180,126 is 2

LCM of denominators i.e. for 73,49,364 is 186004.

Thus, GCF of Fractions is 2/186004.Finally, GCF of Fractions for 956/73, 180/49, 126/364 is 2/186004.