Greatest Common Factor of 908/75, 310/94, 142/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 908/75, 310/94, 142/78

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 908/75,310/94,142/78

Given fractions are 908/75,310/94,142/78

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 908,310,142

Greatest Common Factor of Numerators i.e. GCF of 908,310,142 is 2 .

LCM of Denominators means LCM of 75,94,78 as per the given fractions.

LCM of 75,94,78 is 91650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 908,310,142

GCF of Fractions 908/75,310/94,142/78 is 2/91650

2 908, 310, 142
454, 155, 71

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 908,310,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,310,142 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 908,310,142 . The biggest common factor number is the GCF number.
So the greatest common factor 908,310,142 is 2.

Lets's calculate LCM of 75,94,78

2 75, 94, 78
3 75, 47, 39
25, 47, 13

∴ So the LCM of the given numbers is 2 x 3 x 25 x 47 x 13 = 91650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91650

Therefore, the GCF of Fractions 908/75,310/94,142/78 is 2/91650

Least Common Multiple of 75,94,78 with GCF Formula

Least Common Multiple of 75,94,78 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 75,94,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,94,78) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,94,78) x common factors =1 x 6 = 6

LCM(75,94,78) = ( 75 × 94 × 78 ) / 6

LCM(75,94,78) = 549900 / 6

LCM(75,94,78) = 91650


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 908/75, 310/94, 142/78

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 908/75, 310/94, 142/78?

Answer: GCF of Numerators as per given numbers 908/75, 310/94, 142/78 is

GCF of Numerators i.e. for 908,310,142 is 2

LCM of denominators i.e. for 75,94,78 is 91650.

Thus, GCF of Fractions is 2/91650.Finally, GCF of Fractions for 908/75, 310/94, 142/78 is 2/91650.