Greatest Common Factor of 9723/971, 8910/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9723/971, 8910/878

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 9723/971,8910/878

Given fractions are 9723/971,8910/878

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 9723,8910

Greatest Common Factor of Numerators i.e. GCF of 9723,8910 is 3 .

LCM of Denominators means LCM of 971,878 as per the given fractions.

LCM of 971,878 is 852538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9723,8910

GCF of Fractions 9723/971,8910/878 is 3/852538

3 9723, 8910
3241, 2970

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

Greatest Common Factor of 9723,8910 By Matching Biggest Common Factor Method

Greatest Common Factor of 9723,8910 By Matching Biggest Common Factor Method

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1,3,7,21,463,1389,3241,9723

Factors of 8910

List of positive integer factors of 8910 that divides 8910 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910

Greatest Common Factor

We found the factors 9723,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 9723,8910 is 3.

Lets's calculate LCM of 971,878

Given numbers has no common factors except 1. So, there LCM is their product i.e 852538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/852538

Therefore, the GCF of Fractions 9723/971,8910/878 is 3/852538

Least Common Multiple of 971,878 with GCF Formula

Least Common Multiple of 971,878 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 971,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,878) = 1

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

GCF(971,878) x common factors =1 x 1 = 1

LCM(971,878) = ( 971 × 878 ) / 1

LCM(971,878) = 852538 / 1

LCM(971,878) = 852538


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 9723/971, 8910/878

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 9723/971, 8910/878?

Answer: GCF of Numerators as per given numbers 9723/971, 8910/878 is

GCF of Numerators i.e. for 9723,8910 is 3

LCM of denominators i.e. for 971,878 is 852538.

Thus, GCF of Fractions is 3/852538.Finally, GCF of Fractions for 9723/971, 8910/878 is 3/852538.