Greatest Common Factor of 1539/721, 1297/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1539/721, 1297/943

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 1539/721,1297/943

Given fractions are 1539/721,1297/943

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 1539,1297

Greatest Common Factor of Numerators i.e. GCF of 1539,1297 is 1 .

LCM of Denominators means LCM of 721,943 as per the given fractions.

LCM of 721,943 is 679903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1539,1297

GCF of Fractions 1539/721,1297/943 is 1/679903

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

Greatest Common Factor of 1539,1297 By Matching Biggest Common Factor Method

Greatest Common Factor of 1539,1297 By Matching Biggest Common Factor Method

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Factors of 1297

List of positive integer factors of 1297 that divides 1297 without a remainder.

1,1297

Greatest Common Factor

We found the factors 1539,1297 . The biggest common factor number is the GCF number.
So the greatest common factor 1539,1297 is 1.

Lets's calculate LCM of 721,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 679903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/679903

Therefore, the GCF of Fractions 1539/721,1297/943 is 1/679903

Least Common Multiple of 721,943 with GCF Formula

Least Common Multiple of 721,943 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 721,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,943) = 1

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

GCF(721,943) x common factors =1 x 1 = 1

LCM(721,943) = ( 721 × 943 ) / 1

LCM(721,943) = 679903 / 1

LCM(721,943) = 679903


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 1539/721, 1297/943

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 1539/721, 1297/943?

Answer: GCF of Numerators as per given numbers 1539/721, 1297/943 is

GCF of Numerators i.e. for 1539,1297 is 1

LCM of denominators i.e. for 721,943 is 679903.

Thus, GCF of Fractions is 1/679903.Finally, GCF of Fractions for 1539/721, 1297/943 is 1/679903.