Greatest Common Factor of 9/76, 37/27, 99/180, 777/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/76, 37/27, 99/180, 777/242

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 9/76,37/27,99/180,777/242

Given fractions are 9/76,37/27,99/180,777/242

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 9,37,99,777

Greatest Common Factor of Numerators i.e. GCF of 9,37,99,777 is 1 .

LCM of Denominators means LCM of 76,27,180,242 as per the given fractions.

LCM of 76,27,180,242 is 1241460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,37,99,777

GCF of Fractions 9/76,37/27,99/180,777/242 is 1/1241460

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

Greatest Common Factor of 9,37,99,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,37,99,777 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 9,37,99,777 . The biggest common factor number is the GCF number.
So the greatest common factor 9,37,99,777 is 1.

Lets's calculate LCM of 76,27,180,242

2 76, 27, 180, 242
2 38, 27, 90, 121
3 19, 27, 45, 121
3 19, 9, 15, 121
19, 3, 5, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 3 x 5 x 121 = 1241460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1241460

Therefore, the GCF of Fractions 9/76,37/27,99/180,777/242 is 1/1241460

Least Common Multiple of 76,27,180,242 with GCF Formula

Least Common Multiple of 76,27,180,242 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 76,27,180,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,27,180,242) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(76,27,180,242) x common factors =1 x 72 = 72

LCM(76,27,180,242) = ( 76 × 27 × 180 × 242 ) / 72

LCM(76,27,180,242) = 89385120 / 72

LCM(76,27,180,242) = 1241460


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 9/76, 37/27, 99/180, 777/242

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 9/76, 37/27, 99/180, 777/242?

Answer: GCF of Numerators as per given numbers 9/76, 37/27, 99/180, 777/242 is

GCF of Numerators i.e. for 9,37,99,777 is 1

LCM of denominators i.e. for 76,27,180,242 is 1241460.

Thus, GCF of Fractions is 1/1241460.Finally, GCF of Fractions for 9/76, 37/27, 99/180, 777/242 is 1/1241460.