Greatest Common Factor of 118/137, 7492/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/137, 7492/587

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 118/137,7492/587

Given fractions are 118/137,7492/587

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 118,7492

Greatest Common Factor of Numerators i.e. GCF of 118,7492 is 2 .

LCM of Denominators means LCM of 137,587 as per the given fractions.

LCM of 137,587 is 80419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,7492

GCF of Fractions 118/137,7492/587 is 2/80419

2 118, 7492
59, 3746

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

Greatest Common Factor of 118,7492 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,7492 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 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1,2,4,1873,3746,7492

Greatest Common Factor

We found the factors 118,7492 . The biggest common factor number is the GCF number.
So the greatest common factor 118,7492 is 2.

Lets's calculate LCM of 137,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 80419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80419

Therefore, the GCF of Fractions 118/137,7492/587 is 2/80419

Least Common Multiple of 137,587 with GCF Formula

Least Common Multiple of 137,587 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 137,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,587) = 1

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

GCF(137,587) x common factors =1 x 1 = 1

LCM(137,587) = ( 137 × 587 ) / 1

LCM(137,587) = 80419 / 1

LCM(137,587) = 80419


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 118/137, 7492/587

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 118/137, 7492/587?

Answer: GCF of Numerators as per given numbers 118/137, 7492/587 is

GCF of Numerators i.e. for 118,7492 is 2

LCM of denominators i.e. for 137,587 is 80419.

Thus, GCF of Fractions is 2/80419.Finally, GCF of Fractions for 118/137, 7492/587 is 2/80419.