Greatest Common Factor of 3136/48, 2742/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3136/48, 2742/981

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 3136/48,2742/981

Given fractions are 3136/48,2742/981

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 3136,2742

Greatest Common Factor of Numerators i.e. GCF of 3136,2742 is 2 .

LCM of Denominators means LCM of 48,981 as per the given fractions.

LCM of 48,981 is 15696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3136,2742

GCF of Fractions 3136/48,2742/981 is 2/15696

2 3136, 2742
1568, 1371

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

Greatest Common Factor of 3136,2742 By Matching Biggest Common Factor Method

Greatest Common Factor of 3136,2742 By Matching Biggest Common Factor Method

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Factors of 2742

List of positive integer factors of 2742 that divides 2742 without a remainder.

1,2,3,6,457,914,1371,2742

Greatest Common Factor

We found the factors 3136,2742 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,2742 is 2.

Lets's calculate LCM of 48,981

3 48, 981
16, 327

∴ So the LCM of the given numbers is 3 x 16 x 327 = 15696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15696

Therefore, the GCF of Fractions 3136/48,2742/981 is 2/15696

Least Common Multiple of 48,981 with GCF Formula

Least Common Multiple of 48,981 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 48,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,981) = 3

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

GCF(48,981) x common factors =3 x 1 = 3

LCM(48,981) = ( 48 × 981 ) / 3

LCM(48,981) = 47088 / 3

LCM(48,981) = 15696


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 3136/48, 2742/981

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 3136/48, 2742/981?

Answer: GCF of Numerators as per given numbers 3136/48, 2742/981 is

GCF of Numerators i.e. for 3136,2742 is 2

LCM of denominators i.e. for 48,981 is 15696.

Thus, GCF of Fractions is 2/15696.Finally, GCF of Fractions for 3136/48, 2742/981 is 2/15696.