Greatest Common Factor of 491/320, 5268/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/320, 5268/658

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 491/320,5268/658

Given fractions are 491/320,5268/658

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 491,5268

Greatest Common Factor of Numerators i.e. GCF of 491,5268 is 1 .

LCM of Denominators means LCM of 320,658 as per the given fractions.

LCM of 320,658 is 105280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,5268

GCF of Fractions 491/320,5268/658 is 1/105280

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

Greatest Common Factor of 491,5268 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,5268 By Matching Biggest Common Factor Method

Factors of 491

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

1,491

Factors of 5268

List of positive integer factors of 5268 that divides 5268 without a remainder.

1,2,3,4,6,12,439,878,1317,1756,2634,5268

Greatest Common Factor

We found the factors 491,5268 . The biggest common factor number is the GCF number.
So the greatest common factor 491,5268 is 1.

Lets's calculate LCM of 320,658

2 320, 658
160, 329

∴ So the LCM of the given numbers is 2 x 160 x 329 = 105280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105280

Therefore, the GCF of Fractions 491/320,5268/658 is 1/105280

Least Common Multiple of 320,658 with GCF Formula

Least Common Multiple of 320,658 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 320,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,658) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(320,658) x common factors =2 x 1 = 2

LCM(320,658) = ( 320 × 658 ) / 2

LCM(320,658) = 210560 / 2

LCM(320,658) = 105280


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 491/320, 5268/658

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 491/320, 5268/658?

Answer: GCF of Numerators as per given numbers 491/320, 5268/658 is

GCF of Numerators i.e. for 491,5268 is 1

LCM of denominators i.e. for 320,658 is 105280.

Thus, GCF of Fractions is 1/105280.Finally, GCF of Fractions for 491/320, 5268/658 is 1/105280.