Greatest Common Factor of 135/92, 660/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/92, 660/605

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 135/92,660/605

Given fractions are 135/92,660/605

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 135,660

Greatest Common Factor of Numerators i.e. GCF of 135,660 is 15 .

LCM of Denominators means LCM of 92,605 as per the given fractions.

LCM of 92,605 is 55660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,660

GCF of Fractions 135/92,660/605 is 15/55660

3 135, 660
5 45, 220
9, 44

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

Greatest Common Factor of 135,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,660 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 135,660 . The biggest common factor number is the GCF number.
So the greatest common factor 135,660 is 15.

Lets's calculate LCM of 92,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 55660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/55660

Therefore, the GCF of Fractions 135/92,660/605 is 15/55660

Least Common Multiple of 92,605 with GCF Formula

Least Common Multiple of 92,605 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 92,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,605) = 1

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

GCF(92,605) x common factors =1 x 1 = 1

LCM(92,605) = ( 92 × 605 ) / 1

LCM(92,605) = 55660 / 1

LCM(92,605) = 55660


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 135/92, 660/605

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 135/92, 660/605?

Answer: GCF of Numerators as per given numbers 135/92, 660/605 is

GCF of Numerators i.e. for 135,660 is 15

LCM of denominators i.e. for 92,605 is 55660.

Thus, GCF of Fractions is 15/55660.Finally, GCF of Fractions for 135/92, 660/605 is 15/55660.