Greatest Common Factor of 118/980, 2946/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/980, 2946/135

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 118/980,2946/135

Given fractions are 118/980,2946/135

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 118,2946

Greatest Common Factor of Numerators i.e. GCF of 118,2946 is 2 .

LCM of Denominators means LCM of 980,135 as per the given fractions.

LCM of 980,135 is 26460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,2946

GCF of Fractions 118/980,2946/135 is 2/26460

2 118, 2946
59, 1473

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

Greatest Common Factor of 118,2946 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,2946 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 2946

List of positive integer factors of 2946 that divides 2946 without a remainder.

1,2,3,6,491,982,1473,2946

Greatest Common Factor

We found the factors 118,2946 . The biggest common factor number is the GCF number.
So the greatest common factor 118,2946 is 2.

Lets's calculate LCM of 980,135

5 980, 135
196, 27

∴ So the LCM of the given numbers is 5 x 196 x 27 = 26460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26460

Therefore, the GCF of Fractions 118/980,2946/135 is 2/26460

Least Common Multiple of 980,135 with GCF Formula

Least Common Multiple of 980,135 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 980,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,135) = 5

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

GCF(980,135) x common factors =5 x 1 = 5

LCM(980,135) = ( 980 × 135 ) / 5

LCM(980,135) = 132300 / 5

LCM(980,135) = 26460


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 118/980, 2946/135

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 118/980, 2946/135?

Answer: GCF of Numerators as per given numbers 118/980, 2946/135 is

GCF of Numerators i.e. for 118,2946 is 2

LCM of denominators i.e. for 980,135 is 26460.

Thus, GCF of Fractions is 2/26460.Finally, GCF of Fractions for 118/980, 2946/135 is 2/26460.