Greatest Common Factor of 291/271, 5656/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 291/271, 5656/365

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 291/271,5656/365

Given fractions are 291/271,5656/365

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 291,5656

Greatest Common Factor of Numerators i.e. GCF of 291,5656 is 1 .

LCM of Denominators means LCM of 271,365 as per the given fractions.

LCM of 271,365 is 98915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 291,5656

GCF of Fractions 291/271,5656/365 is 1/98915

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

Greatest Common Factor of 291,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,5656 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 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 291,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 291,5656 is 1.

Lets's calculate LCM of 271,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 98915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98915

Therefore, the GCF of Fractions 291/271,5656/365 is 1/98915

Least Common Multiple of 271,365 with GCF Formula

Least Common Multiple of 271,365 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 271,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,365) = 1

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

GCF(271,365) x common factors =1 x 1 = 1

LCM(271,365) = ( 271 × 365 ) / 1

LCM(271,365) = 98915 / 1

LCM(271,365) = 98915


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 291/271, 5656/365

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 291/271, 5656/365?

Answer: GCF of Numerators as per given numbers 291/271, 5656/365 is

GCF of Numerators i.e. for 291,5656 is 1

LCM of denominators i.e. for 271,365 is 98915.

Thus, GCF of Fractions is 1/98915.Finally, GCF of Fractions for 291/271, 5656/365 is 1/98915.