Greatest Common Factor of 7139/83, 7972/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7139/83, 7972/841

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 7139/83,7972/841

Given fractions are 7139/83,7972/841

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 7139,7972

Greatest Common Factor of Numerators i.e. GCF of 7139,7972 is 1 .

LCM of Denominators means LCM of 83,841 as per the given fractions.

LCM of 83,841 is 69803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7139,7972

GCF of Fractions 7139/83,7972/841 is 1/69803

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

Greatest Common Factor of 7139,7972 By Matching Biggest Common Factor Method

Greatest Common Factor of 7139,7972 By Matching Biggest Common Factor Method

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1,2,4,1993,3986,7972

Greatest Common Factor

We found the factors 7139,7972 . The biggest common factor number is the GCF number.
So the greatest common factor 7139,7972 is 1.

Lets's calculate LCM of 83,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 69803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69803

Therefore, the GCF of Fractions 7139/83,7972/841 is 1/69803

Least Common Multiple of 83,841 with GCF Formula

Least Common Multiple of 83,841 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 83,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,841) = 1

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

GCF(83,841) x common factors =1 x 1 = 1

LCM(83,841) = ( 83 × 841 ) / 1

LCM(83,841) = 69803 / 1

LCM(83,841) = 69803


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 7139/83, 7972/841

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 7139/83, 7972/841?

Answer: GCF of Numerators as per given numbers 7139/83, 7972/841 is

GCF of Numerators i.e. for 7139,7972 is 1

LCM of denominators i.e. for 83,841 is 69803.

Thus, GCF of Fractions is 1/69803.Finally, GCF of Fractions for 7139/83, 7972/841 is 1/69803.