Greatest Common Factor of 285/117, 615/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 285/117, 615/677

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 285/117,615/677

Given fractions are 285/117,615/677

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 285,615

Greatest Common Factor of Numerators i.e. GCF of 285,615 is 15 .

LCM of Denominators means LCM of 117,677 as per the given fractions.

LCM of 117,677 is 79209 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 285,615

GCF of Fractions 285/117,615/677 is 15/79209

3 285, 615
5 95, 205
19, 41

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 285,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,615 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 615

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

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

Greatest Common Factor

We found the factors 285,615 . The biggest common factor number is the GCF number.
So the greatest common factor 285,615 is 15.

Lets's calculate LCM of 117,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 79209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/79209

Therefore, the GCF of Fractions 285/117,615/677 is 15/79209

Least Common Multiple of 117,677 with GCF Formula

Least Common Multiple of 117,677 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 117,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,677) = 1

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

GCF(117,677) x common factors =1 x 1 = 1

LCM(117,677) = ( 117 × 677 ) / 1

LCM(117,677) = 79209 / 1

LCM(117,677) = 79209


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 285/117, 615/677

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 285/117, 615/677?

Answer: GCF of Numerators as per given numbers 285/117, 615/677 is

GCF of Numerators i.e. for 285,615 is 15

LCM of denominators i.e. for 117,677 is 79209.

Thus, GCF of Fractions is 15/79209.Finally, GCF of Fractions for 285/117, 615/677 is 15/79209.