Greatest Common Factor of 137/54, 1989/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 137/54, 1989/626

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 137/54,1989/626

Given fractions are 137/54,1989/626

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 137,1989

Greatest Common Factor of Numerators i.e. GCF of 137,1989 is 1 .

LCM of Denominators means LCM of 54,626 as per the given fractions.

LCM of 54,626 is 16902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 137,1989

GCF of Fractions 137/54,1989/626 is 1/16902

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 137,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,1989 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 137,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 137,1989 is 1.

Lets's calculate LCM of 54,626

2 54, 626
27, 313

∴ So the LCM of the given numbers is 2 x 27 x 313 = 16902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16902

Therefore, the GCF of Fractions 137/54,1989/626 is 1/16902

Least Common Multiple of 54,626 with GCF Formula

Least Common Multiple of 54,626 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 54,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,626) = 2

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

GCF(54,626) x common factors =2 x 1 = 2

LCM(54,626) = ( 54 × 626 ) / 2

LCM(54,626) = 33804 / 2

LCM(54,626) = 16902


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 137/54, 1989/626

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 137/54, 1989/626?

Answer: GCF of Numerators as per given numbers 137/54, 1989/626 is

GCF of Numerators i.e. for 137,1989 is 1

LCM of denominators i.e. for 54,626 is 16902.

Thus, GCF of Fractions is 1/16902.Finally, GCF of Fractions for 137/54, 1989/626 is 1/16902.