Greatest Common Factor of 6136/87, 3930/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6136/87, 3930/142

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 6136/87,3930/142

Given fractions are 6136/87,3930/142

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 6136,3930

Greatest Common Factor of Numerators i.e. GCF of 6136,3930 is 2 .

LCM of Denominators means LCM of 87,142 as per the given fractions.

LCM of 87,142 is 12354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6136,3930

GCF of Fractions 6136/87,3930/142 is 2/12354

2 6136, 3930
3068, 1965

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

Greatest Common Factor of 6136,3930 By Matching Biggest Common Factor Method

Greatest Common Factor of 6136,3930 By Matching Biggest Common Factor Method

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930

Greatest Common Factor

We found the factors 6136,3930 . The biggest common factor number is the GCF number.
So the greatest common factor 6136,3930 is 2.

Lets's calculate LCM of 87,142

Given numbers has no common factors except 1. So, there LCM is their product i.e 12354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12354

Therefore, the GCF of Fractions 6136/87,3930/142 is 2/12354

Least Common Multiple of 87,142 with GCF Formula

Least Common Multiple of 87,142 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 87,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,142) = 1

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

GCF(87,142) x common factors =1 x 1 = 1

LCM(87,142) = ( 87 × 142 ) / 1

LCM(87,142) = 12354 / 1

LCM(87,142) = 12354


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 6136/87, 3930/142

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 6136/87, 3930/142?

Answer: GCF of Numerators as per given numbers 6136/87, 3930/142 is

GCF of Numerators i.e. for 6136,3930 is 2

LCM of denominators i.e. for 87,142 is 12354.

Thus, GCF of Fractions is 2/12354.Finally, GCF of Fractions for 6136/87, 3930/142 is 2/12354.