Greatest Common Factor of 9687/73, 7119/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9687/73, 7119/868

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 9687/73,7119/868

Given fractions are 9687/73,7119/868

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 9687,7119

Greatest Common Factor of Numerators i.e. GCF of 9687,7119 is 3 .

LCM of Denominators means LCM of 73,868 as per the given fractions.

LCM of 73,868 is 63364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9687,7119

GCF of Fractions 9687/73,7119/868 is 3/63364

3 9687, 7119
3229, 2373

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9687,7119 By Matching Biggest Common Factor Method

Greatest Common Factor of 9687,7119 By Matching Biggest Common Factor Method

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1,3,7,9,21,63,113,339,791,1017,2373,7119

Greatest Common Factor

We found the factors 9687,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 9687,7119 is 3.

Lets's calculate LCM of 73,868

Given numbers has no common factors except 1. So, there LCM is their product i.e 63364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/63364

Therefore, the GCF of Fractions 9687/73,7119/868 is 3/63364

Least Common Multiple of 73,868 with GCF Formula

Least Common Multiple of 73,868 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 73,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,868) = 1

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

GCF(73,868) x common factors =1 x 1 = 1

LCM(73,868) = ( 73 × 868 ) / 1

LCM(73,868) = 63364 / 1

LCM(73,868) = 63364


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 9687/73, 7119/868

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 9687/73, 7119/868?

Answer: GCF of Numerators as per given numbers 9687/73, 7119/868 is

GCF of Numerators i.e. for 9687,7119 is 3

LCM of denominators i.e. for 73,868 is 63364.

Thus, GCF of Fractions is 3/63364.Finally, GCF of Fractions for 9687/73, 7119/868 is 3/63364.