Greatest Common Factor of 4732/75, 6038/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4732/75, 6038/595

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 4732/75,6038/595

Given fractions are 4732/75,6038/595

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 4732,6038

Greatest Common Factor of Numerators i.e. GCF of 4732,6038 is 2 .

LCM of Denominators means LCM of 75,595 as per the given fractions.

LCM of 75,595 is 8925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4732,6038

GCF of Fractions 4732/75,6038/595 is 2/8925

2 4732, 6038
2366, 3019

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4732,6038 By Matching Biggest Common Factor Method

Greatest Common Factor of 4732,6038 By Matching Biggest Common Factor Method

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1,2,3019,6038

Greatest Common Factor

We found the factors 4732,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,6038 is 2.

Lets's calculate LCM of 75,595

5 75, 595
15, 119

∴ So the LCM of the given numbers is 5 x 15 x 119 = 8925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8925

Therefore, the GCF of Fractions 4732/75,6038/595 is 2/8925

Least Common Multiple of 75,595 with GCF Formula

Least Common Multiple of 75,595 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 75,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,595) = 5

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

GCF(75,595) x common factors =5 x 1 = 5

LCM(75,595) = ( 75 × 595 ) / 5

LCM(75,595) = 44625 / 5

LCM(75,595) = 8925


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 4732/75, 6038/595

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 4732/75, 6038/595?

Answer: GCF of Numerators as per given numbers 4732/75, 6038/595 is

GCF of Numerators i.e. for 4732,6038 is 2

LCM of denominators i.e. for 75,595 is 8925.

Thus, GCF of Fractions is 2/8925.Finally, GCF of Fractions for 4732/75, 6038/595 is 2/8925.