Greatest Common Factor of 9776/972, 7782/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9776/972, 7782/243

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 9776/972,7782/243

Given fractions are 9776/972,7782/243

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 9776,7782

Greatest Common Factor of Numerators i.e. GCF of 9776,7782 is 2 .

LCM of Denominators means LCM of 972,243 as per the given fractions.

LCM of 972,243 is 972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9776,7782

GCF of Fractions 9776/972,7782/243 is 2/972

2 9776, 7782
4888, 3891

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9776,7782 By Matching Biggest Common Factor Method

Greatest Common Factor of 9776,7782 By Matching Biggest Common Factor Method

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1,2,3,6,1297,2594,3891,7782

Greatest Common Factor

We found the factors 9776,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 9776,7782 is 2.

Lets's calculate LCM of 972,243

3 972, 243
3 324, 81
3 108, 27
3 36, 9
3 12, 3
4, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 3 x 4 x 1 = 972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/972

Therefore, the GCF of Fractions 9776/972,7782/243 is 2/972

Least Common Multiple of 972,243 with GCF Formula

Least Common Multiple of 972,243 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 972,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,243) = 243

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

GCF(972,243) x common factors =243 x 1 = 243

LCM(972,243) = ( 972 × 243 ) / 243

LCM(972,243) = 236196 / 243

LCM(972,243) = 972


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 9776/972, 7782/243

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 9776/972, 7782/243?

Answer: GCF of Numerators as per given numbers 9776/972, 7782/243 is

GCF of Numerators i.e. for 9776,7782 is 2

LCM of denominators i.e. for 972,243 is 972.

Thus, GCF of Fractions is 2/972.Finally, GCF of Fractions for 9776/972, 7782/243 is 2/972.