Greatest Common Factor of 634/273, 6941/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/273, 6941/364

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 634/273,6941/364

Given fractions are 634/273,6941/364

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 634,6941

Greatest Common Factor of Numerators i.e. GCF of 634,6941 is 1 .

LCM of Denominators means LCM of 273,364 as per the given fractions.

LCM of 273,364 is 1092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,6941

GCF of Fractions 634/273,6941/364 is 1/1092

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

Greatest Common Factor of 634,6941 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,6941 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1,11,631,6941

Greatest Common Factor

We found the factors 634,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 634,6941 is 1.

Lets's calculate LCM of 273,364

7 273, 364
13 39, 52
3, 4

∴ So the LCM of the given numbers is 7 x 13 x 3 x 4 = 1092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092

Therefore, the GCF of Fractions 634/273,6941/364 is 1/1092

Least Common Multiple of 273,364 with GCF Formula

Least Common Multiple of 273,364 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 273,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,364) = 91

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

GCF(273,364) x common factors =91 x 1 = 91

LCM(273,364) = ( 273 × 364 ) / 91

LCM(273,364) = 99372 / 91

LCM(273,364) = 1092


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 634/273, 6941/364

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 634/273, 6941/364?

Answer: GCF of Numerators as per given numbers 634/273, 6941/364 is

GCF of Numerators i.e. for 634,6941 is 1

LCM of denominators i.e. for 273,364 is 1092.

Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 634/273, 6941/364 is 1/1092.