Greatest Common Factor of 5139/673, 7931/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5139/673, 7931/970

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 5139/673,7931/970

Given fractions are 5139/673,7931/970

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 5139,7931

Greatest Common Factor of Numerators i.e. GCF of 5139,7931 is 1 .

LCM of Denominators means LCM of 673,970 as per the given fractions.

LCM of 673,970 is 652810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5139,7931

GCF of Fractions 5139/673,7931/970 is 1/652810

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

Greatest Common Factor of 5139,7931 By Matching Biggest Common Factor Method

Greatest Common Factor of 5139,7931 By Matching Biggest Common Factor Method

Factors of 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1,3,9,571,1713,5139

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Greatest Common Factor

We found the factors 5139,7931 . The biggest common factor number is the GCF number.
So the greatest common factor 5139,7931 is 1.

Lets's calculate LCM of 673,970

Given numbers has no common factors except 1. So, there LCM is their product i.e 652810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652810

Therefore, the GCF of Fractions 5139/673,7931/970 is 1/652810

Least Common Multiple of 673,970 with GCF Formula

Least Common Multiple of 673,970 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 673,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,970) = 1

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

GCF(673,970) x common factors =1 x 1 = 1

LCM(673,970) = ( 673 × 970 ) / 1

LCM(673,970) = 652810 / 1

LCM(673,970) = 652810


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 5139/673, 7931/970

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 5139/673, 7931/970?

Answer: GCF of Numerators as per given numbers 5139/673, 7931/970 is

GCF of Numerators i.e. for 5139,7931 is 1

LCM of denominators i.e. for 673,970 is 652810.

Thus, GCF of Fractions is 1/652810.Finally, GCF of Fractions for 5139/673, 7931/970 is 1/652810.