Greatest Common Factor of 5613/137, 1632/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5613/137, 1632/472

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 5613/137,1632/472

Given fractions are 5613/137,1632/472

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 5613,1632

Greatest Common Factor of Numerators i.e. GCF of 5613,1632 is 3 .

LCM of Denominators means LCM of 137,472 as per the given fractions.

LCM of 137,472 is 64664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5613,1632

GCF of Fractions 5613/137,1632/472 is 3/64664

3 5613, 1632
1871, 544

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

Greatest Common Factor of 5613,1632 By Matching Biggest Common Factor Method

Greatest Common Factor of 5613,1632 By Matching Biggest Common Factor Method

Factors of 5613

List of positive integer factors of 5613 that divides 5613 without a remainder.

1,3,1871,5613

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632

Greatest Common Factor

We found the factors 5613,1632 . The biggest common factor number is the GCF number.
So the greatest common factor 5613,1632 is 3.

Lets's calculate LCM of 137,472

Given numbers has no common factors except 1. So, there LCM is their product i.e 64664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64664

Therefore, the GCF of Fractions 5613/137,1632/472 is 3/64664

Least Common Multiple of 137,472 with GCF Formula

Least Common Multiple of 137,472 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 137,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,472) = 1

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

GCF(137,472) x common factors =1 x 1 = 1

LCM(137,472) = ( 137 × 472 ) / 1

LCM(137,472) = 64664 / 1

LCM(137,472) = 64664


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 5613/137, 1632/472

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 5613/137, 1632/472?

Answer: GCF of Numerators as per given numbers 5613/137, 1632/472 is

GCF of Numerators i.e. for 5613,1632 is 3

LCM of denominators i.e. for 137,472 is 64664.

Thus, GCF of Fractions is 3/64664.Finally, GCF of Fractions for 5613/137, 1632/472 is 3/64664.