Greatest Common Factor of 2524/567, 3499/8959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2524/567, 3499/8959

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 2524/567,3499/8959

Given fractions are 2524/567,3499/8959

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 2524,3499

Greatest Common Factor of Numerators i.e. GCF of 2524,3499 is 1 .

LCM of Denominators means LCM of 567,8959 as per the given fractions.

LCM of 567,8959 is 5079753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2524,3499

GCF of Fractions 2524/567,3499/8959 is 1/5079753

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

Greatest Common Factor of 2524,3499 By Matching Biggest Common Factor Method

Greatest Common Factor of 2524,3499 By Matching Biggest Common Factor Method

Factors of 2524

List of positive integer factors of 2524 that divides 2524 without a remainder.

1,2,4,631,1262,2524

Factors of 3499

List of positive integer factors of 3499 that divides 3499 without a remainder.

1,3499

Greatest Common Factor

We found the factors 2524,3499 . The biggest common factor number is the GCF number.
So the greatest common factor 2524,3499 is 1.

Lets's calculate LCM of 567,8959

Given numbers has no common factors except 1. So, there LCM is their product i.e 5079753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5079753

Therefore, the GCF of Fractions 2524/567,3499/8959 is 1/5079753

Least Common Multiple of 567,8959 with GCF Formula

Least Common Multiple of 567,8959 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 567,8959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,8959) = 1

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

GCF(567,8959) x common factors =1 x 1 = 1

LCM(567,8959) = ( 567 × 8959 ) / 1

LCM(567,8959) = 5079753 / 1

LCM(567,8959) = 5079753


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 2524/567, 3499/8959

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 2524/567, 3499/8959?

Answer: GCF of Numerators as per given numbers 2524/567, 3499/8959 is

GCF of Numerators i.e. for 2524,3499 is 1

LCM of denominators i.e. for 567,8959 is 5079753.

Thus, GCF of Fractions is 1/5079753.Finally, GCF of Fractions for 2524/567, 3499/8959 is 1/5079753.