Greatest Common Factor of 57/927, 294/674, 491/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/927, 294/674, 491/344

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 57/927,294/674,491/344

Given fractions are 57/927,294/674,491/344

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 57,294,491

Greatest Common Factor of Numerators i.e. GCF of 57,294,491 is 1 .

LCM of Denominators means LCM of 927,674,344 as per the given fractions.

LCM of 927,674,344 is 107465256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,294,491

GCF of Fractions 57/927,294/674,491/344 is 1/107465256

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

Greatest Common Factor of 57,294,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,294,491 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 57,294,491 . The biggest common factor number is the GCF number.
So the greatest common factor 57,294,491 is 1.

Lets's calculate LCM of 927,674,344

2 927, 674, 344
927, 337, 172

∴ So the LCM of the given numbers is 2 x 927 x 337 x 172 = 107465256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107465256

Therefore, the GCF of Fractions 57/927,294/674,491/344 is 1/107465256

Least Common Multiple of 927,674,344 with GCF Formula

Least Common Multiple of 927,674,344 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 927,674,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,674,344) = 1

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

GCF(927,674,344) x common factors =1 x 2 = 2

LCM(927,674,344) = ( 927 × 674 × 344 ) / 2

LCM(927,674,344) = 214930512 / 2

LCM(927,674,344) = 107465256


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 57/927, 294/674, 491/344

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 57/927, 294/674, 491/344?

Answer: GCF of Numerators as per given numbers 57/927, 294/674, 491/344 is

GCF of Numerators i.e. for 57,294,491 is 1

LCM of denominators i.e. for 927,674,344 is 107465256.

Thus, GCF of Fractions is 1/107465256.Finally, GCF of Fractions for 57/927, 294/674, 491/344 is 1/107465256.