Greatest Common Factor of 27/87, 42/15, 953/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/87, 42/15, 953/460

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 27/87,42/15,953/460

Given fractions are 27/87,42/15,953/460

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 27,42,953

Greatest Common Factor of Numerators i.e. GCF of 27,42,953 is 1 .

LCM of Denominators means LCM of 87,15,460 as per the given fractions.

LCM of 87,15,460 is 40020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,42,953

GCF of Fractions 27/87,42/15,953/460 is 1/40020

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

Greatest Common Factor of 27,42,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,42,953 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 27,42,953 . The biggest common factor number is the GCF number.
So the greatest common factor 27,42,953 is 1.

Lets's calculate LCM of 87,15,460

3 87, 15, 460
5 29, 5, 460
29, 1, 92

∴ So the LCM of the given numbers is 3 x 5 x 29 x 1 x 92 = 40020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40020

Therefore, the GCF of Fractions 27/87,42/15,953/460 is 1/40020

Least Common Multiple of 87,15,460 with GCF Formula

Least Common Multiple of 87,15,460 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 87,15,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,15,460) = 1

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

GCF(87,15,460) x common factors =1 x 15 = 15

LCM(87,15,460) = ( 87 × 15 × 460 ) / 15

LCM(87,15,460) = 600300 / 15

LCM(87,15,460) = 40020


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 27/87, 42/15, 953/460

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 27/87, 42/15, 953/460?

Answer: GCF of Numerators as per given numbers 27/87, 42/15, 953/460 is

GCF of Numerators i.e. for 27,42,953 is 1

LCM of denominators i.e. for 87,15,460 is 40020.

Thus, GCF of Fractions is 1/40020.Finally, GCF of Fractions for 27/87, 42/15, 953/460 is 1/40020.