Greatest Common Factor of 4635/44, 2977/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4635/44, 2977/742

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 4635/44,2977/742

Given fractions are 4635/44,2977/742

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 4635,2977

Greatest Common Factor of Numerators i.e. GCF of 4635,2977 is 1 .

LCM of Denominators means LCM of 44,742 as per the given fractions.

LCM of 44,742 is 16324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4635,2977

GCF of Fractions 4635/44,2977/742 is 1/16324

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

Greatest Common Factor of 4635,2977 By Matching Biggest Common Factor Method

Greatest Common Factor of 4635,2977 By Matching Biggest Common Factor Method

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1,3,5,9,15,45,103,309,515,927,1545,4635

Factors of 2977

List of positive integer factors of 2977 that divides 2977 without a remainder.

1,13,229,2977

Greatest Common Factor

We found the factors 4635,2977 . The biggest common factor number is the GCF number.
So the greatest common factor 4635,2977 is 1.

Lets's calculate LCM of 44,742

2 44, 742
22, 371

∴ So the LCM of the given numbers is 2 x 22 x 371 = 16324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16324

Therefore, the GCF of Fractions 4635/44,2977/742 is 1/16324

Least Common Multiple of 44,742 with GCF Formula

Least Common Multiple of 44,742 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 44,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,742) = 2

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

GCF(44,742) x common factors =2 x 1 = 2

LCM(44,742) = ( 44 × 742 ) / 2

LCM(44,742) = 32648 / 2

LCM(44,742) = 16324


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 4635/44, 2977/742

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 4635/44, 2977/742?

Answer: GCF of Numerators as per given numbers 4635/44, 2977/742 is

GCF of Numerators i.e. for 4635,2977 is 1

LCM of denominators i.e. for 44,742 is 16324.

Thus, GCF of Fractions is 1/16324.Finally, GCF of Fractions for 4635/44, 2977/742 is 1/16324.