Greatest Common Factor of 537/76, 680/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/76, 680/272

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 537/76,680/272

Given fractions are 537/76,680/272

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 537,680

Greatest Common Factor of Numerators i.e. GCF of 537,680 is 1 .

LCM of Denominators means LCM of 76,272 as per the given fractions.

LCM of 76,272 is 5168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,680

GCF of Fractions 537/76,680/272 is 1/5168

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

Greatest Common Factor of 537,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,680 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 537,680 . The biggest common factor number is the GCF number.
So the greatest common factor 537,680 is 1.

Lets's calculate LCM of 76,272

2 76, 272
2 38, 136
19, 68

∴ So the LCM of the given numbers is 2 x 2 x 19 x 68 = 5168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5168

Therefore, the GCF of Fractions 537/76,680/272 is 1/5168

Least Common Multiple of 76,272 with GCF Formula

Least Common Multiple of 76,272 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 76,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,272) = 4

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

GCF(76,272) x common factors =4 x 1 = 4

LCM(76,272) = ( 76 × 272 ) / 4

LCM(76,272) = 20672 / 4

LCM(76,272) = 5168


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 537/76, 680/272

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 537/76, 680/272?

Answer: GCF of Numerators as per given numbers 537/76, 680/272 is

GCF of Numerators i.e. for 537,680 is 1

LCM of denominators i.e. for 76,272 is 5168.

Thus, GCF of Fractions is 1/5168.Finally, GCF of Fractions for 537/76, 680/272 is 1/5168.