Greatest Common Factor of 813/656, 982/616, 931/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 813/656, 982/616, 931/380

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 813/656,982/616,931/380

Given fractions are 813/656,982/616,931/380

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 813,982,931

Greatest Common Factor of Numerators i.e. GCF of 813,982,931 is 1 .

LCM of Denominators means LCM of 656,616,380 as per the given fractions.

LCM of 656,616,380 is 4798640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 813,982,931

GCF of Fractions 813/656,982/616,931/380 is 1/4798640

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

Greatest Common Factor of 813,982,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,982,931 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 813,982,931 . The biggest common factor number is the GCF number.
So the greatest common factor 813,982,931 is 1.

Lets's calculate LCM of 656,616,380

2 656, 616, 380
2 328, 308, 190
2 164, 154, 95
82, 77, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 77 x 95 = 4798640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4798640

Therefore, the GCF of Fractions 813/656,982/616,931/380 is 1/4798640

Least Common Multiple of 656,616,380 with GCF Formula

Least Common Multiple of 656,616,380 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 656,616,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,616,380) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(656,616,380) x common factors =4 x 8 = 32

LCM(656,616,380) = ( 656 × 616 × 380 ) / 32

LCM(656,616,380) = 153556480 / 32

LCM(656,616,380) = 4798640


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 813/656, 982/616, 931/380

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 813/656, 982/616, 931/380?

Answer: GCF of Numerators as per given numbers 813/656, 982/616, 931/380 is

GCF of Numerators i.e. for 813,982,931 is 1

LCM of denominators i.e. for 656,616,380 is 4798640.

Thus, GCF of Fractions is 1/4798640.Finally, GCF of Fractions for 813/656, 982/616, 931/380 is 1/4798640.