Greatest Common Factor of 875/537, 7677/4949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/537, 7677/4949

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 875/537,7677/4949

Given fractions are 875/537,7677/4949

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 875,7677

Greatest Common Factor of Numerators i.e. GCF of 875,7677 is 1 .

LCM of Denominators means LCM of 537,4949 as per the given fractions.

LCM of 537,4949 is 2657613 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,7677

GCF of Fractions 875/537,7677/4949 is 1/2657613

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

Greatest Common Factor of 875,7677 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,7677 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1,3,9,853,2559,7677

Greatest Common Factor

We found the factors 875,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 875,7677 is 1.

Lets's calculate LCM of 537,4949

Given numbers has no common factors except 1. So, there LCM is their product i.e 2657613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2657613

Therefore, the GCF of Fractions 875/537,7677/4949 is 1/2657613

Least Common Multiple of 537,4949 with GCF Formula

Least Common Multiple of 537,4949 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 537,4949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,4949) = 1

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

GCF(537,4949) x common factors =1 x 1 = 1

LCM(537,4949) = ( 537 × 4949 ) / 1

LCM(537,4949) = 2657613 / 1

LCM(537,4949) = 2657613


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 875/537, 7677/4949

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 875/537, 7677/4949?

Answer: GCF of Numerators as per given numbers 875/537, 7677/4949 is

GCF of Numerators i.e. for 875,7677 is 1

LCM of denominators i.e. for 537,4949 is 2657613.

Thus, GCF of Fractions is 1/2657613.Finally, GCF of Fractions for 875/537, 7677/4949 is 1/2657613.