Greatest Common Factor of 5493/424, 4563/5970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5493/424, 4563/5970

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 5493/424,4563/5970

Given fractions are 5493/424,4563/5970

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 5493,4563

Greatest Common Factor of Numerators i.e. GCF of 5493,4563 is 3 .

LCM of Denominators means LCM of 424,5970 as per the given fractions.

LCM of 424,5970 is 1265640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5493,4563

GCF of Fractions 5493/424,4563/5970 is 3/1265640

3 5493, 4563
1831, 1521

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

Greatest Common Factor of 5493,4563 By Matching Biggest Common Factor Method

Greatest Common Factor of 5493,4563 By Matching Biggest Common Factor Method

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1,3,1831,5493

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 5493,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,4563 is 3.

Lets's calculate LCM of 424,5970

2 424, 5970
212, 2985

∴ So the LCM of the given numbers is 2 x 212 x 2985 = 1265640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1265640

Therefore, the GCF of Fractions 5493/424,4563/5970 is 3/1265640

Least Common Multiple of 424,5970 with GCF Formula

Least Common Multiple of 424,5970 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 424,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,5970) = 2

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

GCF(424,5970) x common factors =2 x 1 = 2

LCM(424,5970) = ( 424 × 5970 ) / 2

LCM(424,5970) = 2531280 / 2

LCM(424,5970) = 1265640


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 5493/424, 4563/5970

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 5493/424, 4563/5970?

Answer: GCF of Numerators as per given numbers 5493/424, 4563/5970 is

GCF of Numerators i.e. for 5493,4563 is 3

LCM of denominators i.e. for 424,5970 is 1265640.

Thus, GCF of Fractions is 3/1265640.Finally, GCF of Fractions for 5493/424, 4563/5970 is 3/1265640.