Greatest Common Factor of 956/552, 326/542, 972/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/552, 326/542, 972/405

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 956/552,326/542,972/405

Given fractions are 956/552,326/542,972/405

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 956,326,972

Greatest Common Factor of Numerators i.e. GCF of 956,326,972 is 2 .

LCM of Denominators means LCM of 552,542,405 as per the given fractions.

LCM of 552,542,405 is 20194920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,326,972

GCF of Fractions 956/552,326/542,972/405 is 2/20194920

2 956, 326, 972
478, 163, 486

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

Greatest Common Factor of 956,326,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,326,972 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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 956,326,972 . The biggest common factor number is the GCF number.
So the greatest common factor 956,326,972 is 2.

Lets's calculate LCM of 552,542,405

2 552, 542, 405
3 276, 271, 405
92, 271, 135

∴ So the LCM of the given numbers is 2 x 3 x 92 x 271 x 135 = 20194920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20194920

Therefore, the GCF of Fractions 956/552,326/542,972/405 is 2/20194920

Least Common Multiple of 552,542,405 with GCF Formula

Least Common Multiple of 552,542,405 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 552,542,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,542,405) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(552,542,405) x common factors =1 x 6 = 6

LCM(552,542,405) = ( 552 × 542 × 405 ) / 6

LCM(552,542,405) = 121169520 / 6

LCM(552,542,405) = 20194920


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 956/552, 326/542, 972/405

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 956/552, 326/542, 972/405?

Answer: GCF of Numerators as per given numbers 956/552, 326/542, 972/405 is

GCF of Numerators i.e. for 956,326,972 is 2

LCM of denominators i.e. for 552,542,405 is 20194920.

Thus, GCF of Fractions is 2/20194920.Finally, GCF of Fractions for 956/552, 326/542, 972/405 is 2/20194920.