Greatest Common Factor of 4382/724, 7637/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4382/724, 7637/241

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 4382/724,7637/241

Given fractions are 4382/724,7637/241

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 4382,7637

Greatest Common Factor of Numerators i.e. GCF of 4382,7637 is 7 .

LCM of Denominators means LCM of 724,241 as per the given fractions.

LCM of 724,241 is 174484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4382,7637

GCF of Fractions 4382/724,7637/241 is 7/174484

7 4382, 7637
626, 1091

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4382,7637 By Matching Biggest Common Factor Method

Greatest Common Factor of 4382,7637 By Matching Biggest Common Factor Method

Factors of 4382

List of positive integer factors of 4382 that divides 4382 without a remainder.

1,2,7,14,313,626,2191,4382

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1,7,1091,7637

Greatest Common Factor

We found the factors 4382,7637 . The biggest common factor number is the GCF number.
So the greatest common factor 4382,7637 is 7.

Lets's calculate LCM of 724,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 174484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/174484

Therefore, the GCF of Fractions 4382/724,7637/241 is 7/174484

Least Common Multiple of 724,241 with GCF Formula

Least Common Multiple of 724,241 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 724,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,241) = 1

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

GCF(724,241) x common factors =1 x 1 = 1

LCM(724,241) = ( 724 × 241 ) / 1

LCM(724,241) = 174484 / 1

LCM(724,241) = 174484


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 4382/724, 7637/241

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 4382/724, 7637/241?

Answer: GCF of Numerators as per given numbers 4382/724, 7637/241 is

GCF of Numerators i.e. for 4382,7637 is 7

LCM of denominators i.e. for 724,241 is 174484.

Thus, GCF of Fractions is 7/174484.Finally, GCF of Fractions for 4382/724, 7637/241 is 7/174484.