Greatest Common Factor of 291/272, 5089/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 291/272, 5089/668

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 291/272,5089/668

Given fractions are 291/272,5089/668

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 291,5089

Greatest Common Factor of Numerators i.e. GCF of 291,5089 is 1 .

LCM of Denominators means LCM of 272,668 as per the given fractions.

LCM of 272,668 is 45424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 291,5089

GCF of Fractions 291/272,5089/668 is 1/45424

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

Greatest Common Factor of 291,5089 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,5089 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1,7,727,5089

Greatest Common Factor

We found the factors 291,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 291,5089 is 1.

Lets's calculate LCM of 272,668

2 272, 668
2 136, 334
68, 167

∴ So the LCM of the given numbers is 2 x 2 x 68 x 167 = 45424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45424

Therefore, the GCF of Fractions 291/272,5089/668 is 1/45424

Least Common Multiple of 272,668 with GCF Formula

Least Common Multiple of 272,668 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 272,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,668) = 4

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

GCF(272,668) x common factors =4 x 1 = 4

LCM(272,668) = ( 272 × 668 ) / 4

LCM(272,668) = 181696 / 4

LCM(272,668) = 45424


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 291/272, 5089/668

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 291/272, 5089/668?

Answer: GCF of Numerators as per given numbers 291/272, 5089/668 is

GCF of Numerators i.e. for 291,5089 is 1

LCM of denominators i.e. for 272,668 is 45424.

Thus, GCF of Fractions is 1/45424.Finally, GCF of Fractions for 291/272, 5089/668 is 1/45424.