Greatest Common Factor of 20/656, 917/854, 983/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/656, 917/854, 983/324

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 20/656,917/854,983/324

Given fractions are 20/656,917/854,983/324

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 20,917,983

Greatest Common Factor of Numerators i.e. GCF of 20,917,983 is 1 .

LCM of Denominators means LCM of 656,854,324 as per the given fractions.

LCM of 656,854,324 is 22689072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,917,983

GCF of Fractions 20/656,917/854,983/324 is 1/22689072

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 20,917,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,917,983 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 20,917,983 . The biggest common factor number is the GCF number.
So the greatest common factor 20,917,983 is 1.

Lets's calculate LCM of 656,854,324

2 656, 854, 324
2 328, 427, 162
164, 427, 81

∴ So the LCM of the given numbers is 2 x 2 x 164 x 427 x 81 = 22689072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22689072

Therefore, the GCF of Fractions 20/656,917/854,983/324 is 1/22689072

Least Common Multiple of 656,854,324 with GCF Formula

Least Common Multiple of 656,854,324 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 656,854,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,854,324) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(656,854,324) x common factors =2 x 4 = 8

LCM(656,854,324) = ( 656 × 854 × 324 ) / 8

LCM(656,854,324) = 181512576 / 8

LCM(656,854,324) = 22689072


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 20/656, 917/854, 983/324

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 20/656, 917/854, 983/324?

Answer: GCF of Numerators as per given numbers 20/656, 917/854, 983/324 is

GCF of Numerators i.e. for 20,917,983 is 1

LCM of denominators i.e. for 656,854,324 is 22689072.

Thus, GCF of Fractions is 1/22689072.Finally, GCF of Fractions for 20/656, 917/854, 983/324 is 1/22689072.