Greatest Common Factor of 7635/983, 8304/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7635/983, 8304/720

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 7635/983,8304/720

Given fractions are 7635/983,8304/720

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 7635,8304

Greatest Common Factor of Numerators i.e. GCF of 7635,8304 is 3 .

LCM of Denominators means LCM of 983,720 as per the given fractions.

LCM of 983,720 is 707760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7635,8304

GCF of Fractions 7635/983,8304/720 is 3/707760

3 7635, 8304
2545, 2768

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7635,8304 By Matching Biggest Common Factor Method

Greatest Common Factor of 7635,8304 By Matching Biggest Common Factor Method

Factors of 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1,3,5,15,509,1527,2545,7635

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors 7635,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 7635,8304 is 3.

Lets's calculate LCM of 983,720

Given numbers has no common factors except 1. So, there LCM is their product i.e 707760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/707760

Therefore, the GCF of Fractions 7635/983,8304/720 is 3/707760

Least Common Multiple of 983,720 with GCF Formula

Least Common Multiple of 983,720 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 983,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,720) = 1

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

GCF(983,720) x common factors =1 x 1 = 1

LCM(983,720) = ( 983 × 720 ) / 1

LCM(983,720) = 707760 / 1

LCM(983,720) = 707760


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 7635/983, 8304/720

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 7635/983, 8304/720?

Answer: GCF of Numerators as per given numbers 7635/983, 8304/720 is

GCF of Numerators i.e. for 7635,8304 is 3

LCM of denominators i.e. for 983,720 is 707760.

Thus, GCF of Fractions is 3/707760.Finally, GCF of Fractions for 7635/983, 8304/720 is 3/707760.