Greatest Common Factor of 810/57, 873/55, 135/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/57, 873/55, 135/240

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 810/57,873/55,135/240

Given fractions are 810/57,873/55,135/240

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 810,873,135

Greatest Common Factor of Numerators i.e. GCF of 810,873,135 is 9 .

LCM of Denominators means LCM of 57,55,240 as per the given fractions.

LCM of 57,55,240 is 50160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,873,135

GCF of Fractions 810/57,873/55,135/240 is 9/50160

3 810, 873, 135
3 270, 291, 45
90, 97, 15

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 810,873,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,873,135 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 135

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

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

Greatest Common Factor

We found the factors 810,873,135 . The biggest common factor number is the GCF number.
So the greatest common factor 810,873,135 is 9.

Lets's calculate LCM of 57,55,240

3 57, 55, 240
5 19, 55, 80
19, 11, 16

∴ So the LCM of the given numbers is 3 x 5 x 19 x 11 x 16 = 50160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/50160

Therefore, the GCF of Fractions 810/57,873/55,135/240 is 9/50160

Least Common Multiple of 57,55,240 with GCF Formula

Least Common Multiple of 57,55,240 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 57,55,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,55,240) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(57,55,240) x common factors =1 x 15 = 15

LCM(57,55,240) = ( 57 × 55 × 240 ) / 15

LCM(57,55,240) = 752400 / 15

LCM(57,55,240) = 50160


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 810/57, 873/55, 135/240

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 810/57, 873/55, 135/240?

Answer: GCF of Numerators as per given numbers 810/57, 873/55, 135/240 is

GCF of Numerators i.e. for 810,873,135 is 9

LCM of denominators i.e. for 57,55,240 is 50160.

Thus, GCF of Fractions is 9/50160.Finally, GCF of Fractions for 810/57, 873/55, 135/240 is 9/50160.