Greatest Common Factor of 991/138, 9971/2667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/138, 9971/2667

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 991/138,9971/2667

Given fractions are 991/138,9971/2667

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 991,9971

Greatest Common Factor of Numerators i.e. GCF of 991,9971 is 1 .

LCM of Denominators means LCM of 138,2667 as per the given fractions.

LCM of 138,2667 is 122682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,9971

GCF of Fractions 991/138,9971/2667 is 1/122682

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

Greatest Common Factor of 991,9971 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,9971 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors 991,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 991,9971 is 1.

Lets's calculate LCM of 138,2667

3 138, 2667
46, 889

∴ So the LCM of the given numbers is 3 x 46 x 889 = 122682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122682

Therefore, the GCF of Fractions 991/138,9971/2667 is 1/122682

Least Common Multiple of 138,2667 with GCF Formula

Least Common Multiple of 138,2667 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 138,2667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,2667) = 3

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

GCF(138,2667) x common factors =3 x 1 = 3

LCM(138,2667) = ( 138 × 2667 ) / 3

LCM(138,2667) = 368046 / 3

LCM(138,2667) = 122682


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 991/138, 9971/2667

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 991/138, 9971/2667?

Answer: GCF of Numerators as per given numbers 991/138, 9971/2667 is

GCF of Numerators i.e. for 991,9971 is 1

LCM of denominators i.e. for 138,2667 is 122682.

Thus, GCF of Fractions is 1/122682.Finally, GCF of Fractions for 991/138, 9971/2667 is 1/122682.