Greatest Common Factor of 9721/708, 6407/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9721/708, 6407/639

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 9721/708,6407/639

Given fractions are 9721/708,6407/639

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 9721,6407

Greatest Common Factor of Numerators i.e. GCF of 9721,6407 is 1 .

LCM of Denominators means LCM of 708,639 as per the given fractions.

LCM of 708,639 is 150804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9721,6407

GCF of Fractions 9721/708,6407/639 is 1/150804

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

Greatest Common Factor of 9721,6407 By Matching Biggest Common Factor Method

Greatest Common Factor of 9721,6407 By Matching Biggest Common Factor Method

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1,9721

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1,43,149,6407

Greatest Common Factor

We found the factors 9721,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 9721,6407 is 1.

Lets's calculate LCM of 708,639

3 708, 639
236, 213

∴ So the LCM of the given numbers is 3 x 236 x 213 = 150804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150804

Therefore, the GCF of Fractions 9721/708,6407/639 is 1/150804

Least Common Multiple of 708,639 with GCF Formula

Least Common Multiple of 708,639 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 708,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,639) = 3

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

GCF(708,639) x common factors =3 x 1 = 3

LCM(708,639) = ( 708 × 639 ) / 3

LCM(708,639) = 452412 / 3

LCM(708,639) = 150804


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 9721/708, 6407/639

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 9721/708, 6407/639?

Answer: GCF of Numerators as per given numbers 9721/708, 6407/639 is

GCF of Numerators i.e. for 9721,6407 is 1

LCM of denominators i.e. for 708,639 is 150804.

Thus, GCF of Fractions is 1/150804.Finally, GCF of Fractions for 9721/708, 6407/639 is 1/150804.