Greatest Common Factor of 156/922, 656/500, 608/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 156/922, 656/500, 608/561

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 156/922,656/500,608/561

Given fractions are 156/922,656/500,608/561

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 156,656,608

Greatest Common Factor of Numerators i.e. GCF of 156,656,608 is 4 .

LCM of Denominators means LCM of 922,500,561 as per the given fractions.

LCM of 922,500,561 is 129310500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,656,608

GCF of Fractions 156/922,656/500,608/561 is 4/129310500

2 156, 656, 608
2 78, 328, 304
39, 164, 152

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

Greatest Common Factor of 156,656,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,656,608 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 156,656,608 . The biggest common factor number is the GCF number.
So the greatest common factor 156,656,608 is 4.

Lets's calculate LCM of 922,500,561

2 922, 500, 561
461, 250, 561

∴ So the LCM of the given numbers is 2 x 461 x 250 x 561 = 129310500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/129310500

Therefore, the GCF of Fractions 156/922,656/500,608/561 is 4/129310500

Least Common Multiple of 922,500,561 with GCF Formula

Least Common Multiple of 922,500,561 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 922,500,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,500,561) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(922,500,561) x common factors =1 x 2 = 2

LCM(922,500,561) = ( 922 × 500 × 561 ) / 2

LCM(922,500,561) = 258621000 / 2

LCM(922,500,561) = 129310500


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 156/922, 656/500, 608/561

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 156/922, 656/500, 608/561?

Answer: GCF of Numerators as per given numbers 156/922, 656/500, 608/561 is

GCF of Numerators i.e. for 156,656,608 is 4

LCM of denominators i.e. for 922,500,561 is 129310500.

Thus, GCF of Fractions is 4/129310500.Finally, GCF of Fractions for 156/922, 656/500, 608/561 is 4/129310500.