Greatest Common Factor of 4637/438, 7428/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4637/438, 7428/613

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 4637/438,7428/613

Given fractions are 4637/438,7428/613

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 4637,7428

Greatest Common Factor of Numerators i.e. GCF of 4637,7428 is 1 .

LCM of Denominators means LCM of 438,613 as per the given fractions.

LCM of 438,613 is 268494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4637,7428

GCF of Fractions 4637/438,7428/613 is 1/268494

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

Greatest Common Factor of 4637,7428 By Matching Biggest Common Factor Method

Greatest Common Factor of 4637,7428 By Matching Biggest Common Factor Method

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1,4637

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Greatest Common Factor

We found the factors 4637,7428 . The biggest common factor number is the GCF number.
So the greatest common factor 4637,7428 is 1.

Lets's calculate LCM of 438,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 268494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268494

Therefore, the GCF of Fractions 4637/438,7428/613 is 1/268494

Least Common Multiple of 438,613 with GCF Formula

Least Common Multiple of 438,613 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 438,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,613) = 1

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

GCF(438,613) x common factors =1 x 1 = 1

LCM(438,613) = ( 438 × 613 ) / 1

LCM(438,613) = 268494 / 1

LCM(438,613) = 268494


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 4637/438, 7428/613

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 4637/438, 7428/613?

Answer: GCF of Numerators as per given numbers 4637/438, 7428/613 is

GCF of Numerators i.e. for 4637,7428 is 1

LCM of denominators i.e. for 438,613 is 268494.

Thus, GCF of Fractions is 1/268494.Finally, GCF of Fractions for 4637/438, 7428/613 is 1/268494.