Greatest Common Factor of 9727/279, 7932/6907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9727/279, 7932/6907

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 9727/279,7932/6907

Given fractions are 9727/279,7932/6907

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 9727,7932

Greatest Common Factor of Numerators i.e. GCF of 9727,7932 is 1 .

LCM of Denominators means LCM of 279,6907 as per the given fractions.

LCM of 279,6907 is 1927053 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9727,7932

GCF of Fractions 9727/279,7932/6907 is 1/1927053

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

Greatest Common Factor of 9727,7932 By Matching Biggest Common Factor Method

Greatest Common Factor of 9727,7932 By Matching Biggest Common Factor Method

Factors of 9727

List of positive integer factors of 9727 that divides 9727 without a remainder.

1,71,137,9727

Factors of 7932

List of positive integer factors of 7932 that divides 7932 without a remainder.

1,2,3,4,6,12,661,1322,1983,2644,3966,7932

Greatest Common Factor

We found the factors 9727,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,7932 is 1.

Lets's calculate LCM of 279,6907

Given numbers has no common factors except 1. So, there LCM is their product i.e 1927053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1927053

Therefore, the GCF of Fractions 9727/279,7932/6907 is 1/1927053

Least Common Multiple of 279,6907 with GCF Formula

Least Common Multiple of 279,6907 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 279,6907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,6907) = 1

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

GCF(279,6907) x common factors =1 x 1 = 1

LCM(279,6907) = ( 279 × 6907 ) / 1

LCM(279,6907) = 1927053 / 1

LCM(279,6907) = 1927053


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 9727/279, 7932/6907

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 9727/279, 7932/6907?

Answer: GCF of Numerators as per given numbers 9727/279, 7932/6907 is

GCF of Numerators i.e. for 9727,7932 is 1

LCM of denominators i.e. for 279,6907 is 1927053.

Thus, GCF of Fractions is 1/1927053.Finally, GCF of Fractions for 9727/279, 7932/6907 is 1/1927053.