Greatest Common Factor of 52/470, 637/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/470, 637/273

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 52/470,637/273

Given fractions are 52/470,637/273

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 52,637

Greatest Common Factor of Numerators i.e. GCF of 52,637 is 13 .

LCM of Denominators means LCM of 470,273 as per the given fractions.

LCM of 470,273 is 128310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,637

GCF of Fractions 52/470,637/273 is 13/128310

13 52, 637
4, 49

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 52,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,637 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 52,637 . The biggest common factor number is the GCF number.
So the greatest common factor 52,637 is 13.

Lets's calculate LCM of 470,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 128310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/128310

Therefore, the GCF of Fractions 52/470,637/273 is 13/128310

Least Common Multiple of 470,273 with GCF Formula

Least Common Multiple of 470,273 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 470,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,273) = 1

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

GCF(470,273) x common factors =1 x 1 = 1

LCM(470,273) = ( 470 × 273 ) / 1

LCM(470,273) = 128310 / 1

LCM(470,273) = 128310


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 52/470, 637/273

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 52/470, 637/273?

Answer: GCF of Numerators as per given numbers 52/470, 637/273 is

GCF of Numerators i.e. for 52,637 is 13

LCM of denominators i.e. for 470,273 is 128310.

Thus, GCF of Fractions is 13/128310.Finally, GCF of Fractions for 52/470, 637/273 is 13/128310.