Greatest Common Factor of 117/742, 6279/6097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/742, 6279/6097

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 117/742,6279/6097

Given fractions are 117/742,6279/6097

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 117,6279

Greatest Common Factor of Numerators i.e. GCF of 117,6279 is 39 .

LCM of Denominators means LCM of 742,6097 as per the given fractions.

LCM of 742,6097 is 646282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,6279

GCF of Fractions 117/742,6279/6097 is 39/646282

3 117, 6279
13 39, 2093
3, 161

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 117,6279 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,6279 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Greatest Common Factor

We found the factors 117,6279 . The biggest common factor number is the GCF number.
So the greatest common factor 117,6279 is 39.

Lets's calculate LCM of 742,6097

7 742, 6097
106, 871

∴ So the LCM of the given numbers is 7 x 106 x 871 = 646282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/646282

Therefore, the GCF of Fractions 117/742,6279/6097 is 39/646282

Least Common Multiple of 742,6097 with GCF Formula

Least Common Multiple of 742,6097 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 742,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,6097) = 7

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

GCF(742,6097) x common factors =7 x 1 = 7

LCM(742,6097) = ( 742 × 6097 ) / 7

LCM(742,6097) = 4523974 / 7

LCM(742,6097) = 646282


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 117/742, 6279/6097

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 117/742, 6279/6097?

Answer: GCF of Numerators as per given numbers 117/742, 6279/6097 is

GCF of Numerators i.e. for 117,6279 is 39

LCM of denominators i.e. for 742,6097 is 646282.

Thus, GCF of Fractions is 39/646282.Finally, GCF of Fractions for 117/742, 6279/6097 is 39/646282.