Greatest Common Factor of 4596/365, 7311/5529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4596/365, 7311/5529

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 4596/365,7311/5529

Given fractions are 4596/365,7311/5529

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 4596,7311

Greatest Common Factor of Numerators i.e. GCF of 4596,7311 is 3 .

LCM of Denominators means LCM of 365,5529 as per the given fractions.

LCM of 365,5529 is 2018085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4596,7311

GCF of Fractions 4596/365,7311/5529 is 3/2018085

3 4596, 7311
1532, 2437

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4596,7311 By Matching Biggest Common Factor Method

Greatest Common Factor of 4596,7311 By Matching Biggest Common Factor Method

Factors of 4596

List of positive integer factors of 4596 that divides 4596 without a remainder.

1,2,3,4,6,12,383,766,1149,1532,2298,4596

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Greatest Common Factor

We found the factors 4596,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 4596,7311 is 3.

Lets's calculate LCM of 365,5529

Given numbers has no common factors except 1. So, there LCM is their product i.e 2018085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2018085

Therefore, the GCF of Fractions 4596/365,7311/5529 is 3/2018085

Least Common Multiple of 365,5529 with GCF Formula

Least Common Multiple of 365,5529 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 365,5529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,5529) = 1

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

GCF(365,5529) x common factors =1 x 1 = 1

LCM(365,5529) = ( 365 × 5529 ) / 1

LCM(365,5529) = 2018085 / 1

LCM(365,5529) = 2018085


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 4596/365, 7311/5529

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 4596/365, 7311/5529?

Answer: GCF of Numerators as per given numbers 4596/365, 7311/5529 is

GCF of Numerators i.e. for 4596,7311 is 3

LCM of denominators i.e. for 365,5529 is 2018085.

Thus, GCF of Fractions is 3/2018085.Finally, GCF of Fractions for 4596/365, 7311/5529 is 3/2018085.