Greatest Common Factor of 676/244, 9321/2737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 676/244, 9321/2737

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 676/244,9321/2737

Given fractions are 676/244,9321/2737

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 676,9321

Greatest Common Factor of Numerators i.e. GCF of 676,9321 is 13 .

LCM of Denominators means LCM of 244,2737 as per the given fractions.

LCM of 244,2737 is 667828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 676,9321

GCF of Fractions 676/244,9321/2737 is 13/667828

13 676, 9321
52, 717

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 676,9321 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,9321 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1,3,13,39,239,717,3107,9321

Greatest Common Factor

We found the factors 676,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 676,9321 is 13.

Lets's calculate LCM of 244,2737

Given numbers has no common factors except 1. So, there LCM is their product i.e 667828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/667828

Therefore, the GCF of Fractions 676/244,9321/2737 is 13/667828

Least Common Multiple of 244,2737 with GCF Formula

Least Common Multiple of 244,2737 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 244,2737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,2737) = 1

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

GCF(244,2737) x common factors =1 x 1 = 1

LCM(244,2737) = ( 244 × 2737 ) / 1

LCM(244,2737) = 667828 / 1

LCM(244,2737) = 667828


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 676/244, 9321/2737

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 676/244, 9321/2737?

Answer: GCF of Numerators as per given numbers 676/244, 9321/2737 is

GCF of Numerators i.e. for 676,9321 is 13

LCM of denominators i.e. for 244,2737 is 667828.

Thus, GCF of Fractions is 13/667828.Finally, GCF of Fractions for 676/244, 9321/2737 is 13/667828.