Greatest Common Factor of 9573/687, 2584/6300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9573/687, 2584/6300

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 9573/687,2584/6300

Given fractions are 9573/687,2584/6300

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 9573,2584

Greatest Common Factor of Numerators i.e. GCF of 9573,2584 is 1 .

LCM of Denominators means LCM of 687,6300 as per the given fractions.

LCM of 687,6300 is 1442700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9573,2584

GCF of Fractions 9573/687,2584/6300 is 1/1442700

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

Greatest Common Factor of 9573,2584 By Matching Biggest Common Factor Method

Greatest Common Factor of 9573,2584 By Matching Biggest Common Factor Method

Factors of 9573

List of positive integer factors of 9573 that divides 9573 without a remainder.

1,3,3191,9573

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Greatest Common Factor

We found the factors 9573,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 9573,2584 is 1.

Lets's calculate LCM of 687,6300

3 687, 6300
229, 2100

∴ So the LCM of the given numbers is 3 x 229 x 2100 = 1442700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1442700

Therefore, the GCF of Fractions 9573/687,2584/6300 is 1/1442700

Least Common Multiple of 687,6300 with GCF Formula

Least Common Multiple of 687,6300 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 687,6300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,6300) = 3

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

GCF(687,6300) x common factors =3 x 1 = 3

LCM(687,6300) = ( 687 × 6300 ) / 3

LCM(687,6300) = 4328100 / 3

LCM(687,6300) = 1442700


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 9573/687, 2584/6300

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 9573/687, 2584/6300?

Answer: GCF of Numerators as per given numbers 9573/687, 2584/6300 is

GCF of Numerators i.e. for 9573,2584 is 1

LCM of denominators i.e. for 687,6300 is 1442700.

Thus, GCF of Fractions is 1/1442700.Finally, GCF of Fractions for 9573/687, 2584/6300 is 1/1442700.