Greatest Common Factor of 75/68, 76/30, 139/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/68, 76/30, 139/918

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 75/68,76/30,139/918

Given fractions are 75/68,76/30,139/918

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 75,76,139

Greatest Common Factor of Numerators i.e. GCF of 75,76,139 is 1 .

LCM of Denominators means LCM of 68,30,918 as per the given fractions.

LCM of 68,30,918 is 9180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,76,139

GCF of Fractions 75/68,76/30,139/918 is 1/9180

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

Greatest Common Factor of 75,76,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,76,139 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 75,76,139 . The biggest common factor number is the GCF number.
So the greatest common factor 75,76,139 is 1.

Lets's calculate LCM of 68,30,918

2 68, 30, 918
3 34, 15, 459
17 34, 5, 153
2, 5, 9

∴ So the LCM of the given numbers is 2 x 3 x 17 x 2 x 5 x 9 = 9180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9180

Therefore, the GCF of Fractions 75/68,76/30,139/918 is 1/9180

Least Common Multiple of 68,30,918 with GCF Formula

Least Common Multiple of 68,30,918 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 68,30,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,30,918) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(68,30,918) x common factors =2 x 102 = 204

LCM(68,30,918) = ( 68 × 30 × 918 ) / 204

LCM(68,30,918) = 1872720 / 204

LCM(68,30,918) = 9180


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 75/68, 76/30, 139/918

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 75/68, 76/30, 139/918?

Answer: GCF of Numerators as per given numbers 75/68, 76/30, 139/918 is

GCF of Numerators i.e. for 75,76,139 is 1

LCM of denominators i.e. for 68,30,918 is 9180.

Thus, GCF of Fractions is 1/9180.Finally, GCF of Fractions for 75/68, 76/30, 139/918 is 1/9180.