Greatest Common Factor of 615/36, 154/12, 272/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/36, 154/12, 272/860

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 615/36,154/12,272/860

Given fractions are 615/36,154/12,272/860

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 615,154,272

Greatest Common Factor of Numerators i.e. GCF of 615,154,272 is 1 .

LCM of Denominators means LCM of 36,12,860 as per the given fractions.

LCM of 36,12,860 is 7740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,154,272

GCF of Fractions 615/36,154/12,272/860 is 1/7740

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

Greatest Common Factor of 615,154,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,154,272 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 615,154,272 . The biggest common factor number is the GCF number.
So the greatest common factor 615,154,272 is 1.

Lets's calculate LCM of 36,12,860

2 36, 12, 860
2 18, 6, 430
3 9, 3, 215
1, 3, 215

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 215 = 7740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7740

Therefore, the GCF of Fractions 615/36,154/12,272/860 is 1/7740

Least Common Multiple of 36,12,860 with GCF Formula

Least Common Multiple of 36,12,860 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 36,12,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,12,860) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(36,12,860) x common factors =4 x 12 = 48

LCM(36,12,860) = ( 36 × 12 × 860 ) / 48

LCM(36,12,860) = 371520 / 48

LCM(36,12,860) = 7740


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 615/36, 154/12, 272/860

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 615/36, 154/12, 272/860?

Answer: GCF of Numerators as per given numbers 615/36, 154/12, 272/860 is

GCF of Numerators i.e. for 615,154,272 is 1

LCM of denominators i.e. for 36,12,860 is 7740.

Thus, GCF of Fractions is 1/7740.Finally, GCF of Fractions for 615/36, 154/12, 272/860 is 1/7740.