Greatest Common Factor of 27/12, 21/785, 863/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/12, 21/785, 863/780

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 27/12,21/785,863/780

Given fractions are 27/12,21/785,863/780

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 27,21,863

Greatest Common Factor of Numerators i.e. GCF of 27,21,863 is 1 .

LCM of Denominators means LCM of 12,785,780 as per the given fractions.

LCM of 12,785,780 is 122460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,21,863

GCF of Fractions 27/12,21/785,863/780 is 1/122460

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

Greatest Common Factor of 27,21,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,21,863 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 27,21,863 . The biggest common factor number is the GCF number.
So the greatest common factor 27,21,863 is 1.

Lets's calculate LCM of 12,785,780

2 12, 785, 780
2 6, 785, 390
3 3, 785, 195
5 1, 785, 65
1, 157, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 157 x 13 = 122460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122460

Therefore, the GCF of Fractions 27/12,21/785,863/780 is 1/122460

Least Common Multiple of 12,785,780 with GCF Formula

Least Common Multiple of 12,785,780 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 12,785,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,785,780) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(12,785,780) x common factors =1 x 60 = 60

LCM(12,785,780) = ( 12 × 785 × 780 ) / 60

LCM(12,785,780) = 7347600 / 60

LCM(12,785,780) = 122460


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 27/12, 21/785, 863/780

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 27/12, 21/785, 863/780?

Answer: GCF of Numerators as per given numbers 27/12, 21/785, 863/780 is

GCF of Numerators i.e. for 27,21,863 is 1

LCM of denominators i.e. for 12,785,780 is 122460.

Thus, GCF of Fractions is 1/122460.Finally, GCF of Fractions for 27/12, 21/785, 863/780 is 1/122460.