Greatest Common Factor of 876/68, 378/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/68, 378/152

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 876/68,378/152

Given fractions are 876/68,378/152

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 876,378

Greatest Common Factor of Numerators i.e. GCF of 876,378 is 6 .

LCM of Denominators means LCM of 68,152 as per the given fractions.

LCM of 68,152 is 2584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,378

GCF of Fractions 876/68,378/152 is 6/2584

2 876, 378
3 438, 189
146, 63

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 876,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,378 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 876,378 . The biggest common factor number is the GCF number.
So the greatest common factor 876,378 is 6.

Lets's calculate LCM of 68,152

2 68, 152
2 34, 76
17, 38

∴ So the LCM of the given numbers is 2 x 2 x 17 x 38 = 2584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2584

Therefore, the GCF of Fractions 876/68,378/152 is 6/2584

Least Common Multiple of 68,152 with GCF Formula

Least Common Multiple of 68,152 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 68,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,152) = 4

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

GCF(68,152) x common factors =4 x 1 = 4

LCM(68,152) = ( 68 × 152 ) / 4

LCM(68,152) = 10336 / 4

LCM(68,152) = 2584


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 876/68, 378/152

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 876/68, 378/152?

Answer: GCF of Numerators as per given numbers 876/68, 378/152 is

GCF of Numerators i.e. for 876,378 is 6

LCM of denominators i.e. for 68,152 is 2584.

Thus, GCF of Fractions is 6/2584.Finally, GCF of Fractions for 876/68, 378/152 is 6/2584.