Greatest Common Factor of 7660/303, 7353/7959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7660/303, 7353/7959

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 7660/303,7353/7959

Given fractions are 7660/303,7353/7959

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 7660,7353

Greatest Common Factor of Numerators i.e. GCF of 7660,7353 is 1 .

LCM of Denominators means LCM of 303,7959 as per the given fractions.

LCM of 303,7959 is 803859 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7660,7353

GCF of Fractions 7660/303,7353/7959 is 1/803859

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

Greatest Common Factor of 7660,7353 By Matching Biggest Common Factor Method

Greatest Common Factor of 7660,7353 By Matching Biggest Common Factor Method

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors 7660,7353 . The biggest common factor number is the GCF number.
So the greatest common factor 7660,7353 is 1.

Lets's calculate LCM of 303,7959

3 303, 7959
101, 2653

∴ So the LCM of the given numbers is 3 x 101 x 2653 = 803859

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803859

Therefore, the GCF of Fractions 7660/303,7353/7959 is 1/803859

Least Common Multiple of 303,7959 with GCF Formula

Least Common Multiple of 303,7959 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 303,7959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,7959) = 3

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

GCF(303,7959) x common factors =3 x 1 = 3

LCM(303,7959) = ( 303 × 7959 ) / 3

LCM(303,7959) = 2411577 / 3

LCM(303,7959) = 803859


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 7660/303, 7353/7959

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 7660/303, 7353/7959?

Answer: GCF of Numerators as per given numbers 7660/303, 7353/7959 is

GCF of Numerators i.e. for 7660,7353 is 1

LCM of denominators i.e. for 303,7959 is 803859.

Thus, GCF of Fractions is 1/803859.Finally, GCF of Fractions for 7660/303, 7353/7959 is 1/803859.