Greatest Common Factor of 9204/777, 3635/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9204/777, 3635/291

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 9204/777,3635/291

Given fractions are 9204/777,3635/291

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 9204,3635

Greatest Common Factor of Numerators i.e. GCF of 9204,3635 is 1 .

LCM of Denominators means LCM of 777,291 as per the given fractions.

LCM of 777,291 is 75369 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9204,3635

GCF of Fractions 9204/777,3635/291 is 1/75369

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

Greatest Common Factor of 9204,3635 By Matching Biggest Common Factor Method

Greatest Common Factor of 9204,3635 By Matching Biggest Common Factor Method

Factors of 9204

List of positive integer factors of 9204 that divides 9204 without a remainder.

1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Greatest Common Factor

We found the factors 9204,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,3635 is 1.

Lets's calculate LCM of 777,291

3 777, 291
259, 97

∴ So the LCM of the given numbers is 3 x 259 x 97 = 75369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75369

Therefore, the GCF of Fractions 9204/777,3635/291 is 1/75369

Least Common Multiple of 777,291 with GCF Formula

Least Common Multiple of 777,291 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 777,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,291) = 3

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

GCF(777,291) x common factors =3 x 1 = 3

LCM(777,291) = ( 777 × 291 ) / 3

LCM(777,291) = 226107 / 3

LCM(777,291) = 75369


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 9204/777, 3635/291

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 9204/777, 3635/291?

Answer: GCF of Numerators as per given numbers 9204/777, 3635/291 is

GCF of Numerators i.e. for 9204,3635 is 1

LCM of denominators i.e. for 777,291 is 75369.

Thus, GCF of Fractions is 1/75369.Finally, GCF of Fractions for 9204/777, 3635/291 is 1/75369.