Greatest Common Factor of 9523/51, 2013/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9523/51, 2013/272

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 9523/51,2013/272

Given fractions are 9523/51,2013/272

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 9523,2013

Greatest Common Factor of Numerators i.e. GCF of 9523,2013 is 1 .

LCM of Denominators means LCM of 51,272 as per the given fractions.

LCM of 51,272 is 816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9523,2013

GCF of Fractions 9523/51,2013/272 is 1/816

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

Greatest Common Factor of 9523,2013 By Matching Biggest Common Factor Method

Greatest Common Factor of 9523,2013 By Matching Biggest Common Factor Method

Factors of 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1,89,107,9523

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Greatest Common Factor

We found the factors 9523,2013 . The biggest common factor number is the GCF number.
So the greatest common factor 9523,2013 is 1.

Lets's calculate LCM of 51,272

17 51, 272
3, 16

∴ So the LCM of the given numbers is 17 x 3 x 16 = 816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/816

Therefore, the GCF of Fractions 9523/51,2013/272 is 1/816

Least Common Multiple of 51,272 with GCF Formula

Least Common Multiple of 51,272 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 51,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,272) = 17

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

GCF(51,272) x common factors =17 x 1 = 17

LCM(51,272) = ( 51 × 272 ) / 17

LCM(51,272) = 13872 / 17

LCM(51,272) = 816


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 9523/51, 2013/272

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 9523/51, 2013/272?

Answer: GCF of Numerators as per given numbers 9523/51, 2013/272 is

GCF of Numerators i.e. for 9523,2013 is 1

LCM of denominators i.e. for 51,272 is 816.

Thus, GCF of Fractions is 1/816.Finally, GCF of Fractions for 9523/51, 2013/272 is 1/816.