Greatest Common Factor of 9201/79, 7744/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9201/79, 7744/777

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 9201/79,7744/777

Given fractions are 9201/79,7744/777

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 9201,7744

Greatest Common Factor of Numerators i.e. GCF of 9201,7744 is 1 .

LCM of Denominators means LCM of 79,777 as per the given fractions.

LCM of 79,777 is 61383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9201,7744

GCF of Fractions 9201/79,7744/777 is 1/61383

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

Greatest Common Factor of 9201,7744 By Matching Biggest Common Factor Method

Greatest Common Factor of 9201,7744 By Matching Biggest Common Factor Method

Factors of 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1,3,3067,9201

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Greatest Common Factor

We found the factors 9201,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,7744 is 1.

Lets's calculate LCM of 79,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 61383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61383

Therefore, the GCF of Fractions 9201/79,7744/777 is 1/61383

Least Common Multiple of 79,777 with GCF Formula

Least Common Multiple of 79,777 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 79,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,777) = 1

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

GCF(79,777) x common factors =1 x 1 = 1

LCM(79,777) = ( 79 × 777 ) / 1

LCM(79,777) = 61383 / 1

LCM(79,777) = 61383


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 9201/79, 7744/777

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 9201/79, 7744/777?

Answer: GCF of Numerators as per given numbers 9201/79, 7744/777 is

GCF of Numerators i.e. for 9201,7744 is 1

LCM of denominators i.e. for 79,777 is 61383.

Thus, GCF of Fractions is 1/61383.Finally, GCF of Fractions for 9201/79, 7744/777 is 1/61383.