Greatest Common Factor of 9771/86, 7836/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9771/86, 7836/484

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 9771/86,7836/484

Given fractions are 9771/86,7836/484

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 9771,7836

Greatest Common Factor of Numerators i.e. GCF of 9771,7836 is 3 .

LCM of Denominators means LCM of 86,484 as per the given fractions.

LCM of 86,484 is 20812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9771,7836

GCF of Fractions 9771/86,7836/484 is 3/20812

3 9771, 7836
3257, 2612

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

Greatest Common Factor of 9771,7836 By Matching Biggest Common Factor Method

Greatest Common Factor of 9771,7836 By Matching Biggest Common Factor Method

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Factors of 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1,2,3,4,6,12,653,1306,1959,2612,3918,7836

Greatest Common Factor

We found the factors 9771,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 9771,7836 is 3.

Lets's calculate LCM of 86,484

2 86, 484
43, 242

∴ So the LCM of the given numbers is 2 x 43 x 242 = 20812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20812

Therefore, the GCF of Fractions 9771/86,7836/484 is 3/20812

Least Common Multiple of 86,484 with GCF Formula

Least Common Multiple of 86,484 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 86,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,484) = 2

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

GCF(86,484) x common factors =2 x 1 = 2

LCM(86,484) = ( 86 × 484 ) / 2

LCM(86,484) = 41624 / 2

LCM(86,484) = 20812


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 9771/86, 7836/484

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 9771/86, 7836/484?

Answer: GCF of Numerators as per given numbers 9771/86, 7836/484 is

GCF of Numerators i.e. for 9771,7836 is 3

LCM of denominators i.e. for 86,484 is 20812.

Thus, GCF of Fractions is 3/20812.Finally, GCF of Fractions for 9771/86, 7836/484 is 3/20812.