Greatest Common Factor of 27/56, 837/31, 189/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/56, 837/31, 189/516

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 27/56,837/31,189/516

Given fractions are 27/56,837/31,189/516

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 27,837,189

Greatest Common Factor of Numerators i.e. GCF of 27,837,189 is 27 .

LCM of Denominators means LCM of 56,31,516 as per the given fractions.

LCM of 56,31,516 is 223944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,837,189

GCF of Fractions 27/56,837/31,189/516 is 27/223944

3 27, 837, 189
3 9, 279, 63
3 3, 93, 21
1, 31, 7

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 27,837,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,837,189 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 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 27,837,189 . The biggest common factor number is the GCF number.
So the greatest common factor 27,837,189 is 27.

Lets's calculate LCM of 56,31,516

2 56, 31, 516
2 28, 31, 258
14, 31, 129

∴ So the LCM of the given numbers is 2 x 2 x 14 x 31 x 129 = 223944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/223944

Therefore, the GCF of Fractions 27/56,837/31,189/516 is 27/223944

Least Common Multiple of 56,31,516 with GCF Formula

Least Common Multiple of 56,31,516 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 56,31,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,31,516) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,31,516) x common factors =1 x 4 = 4

LCM(56,31,516) = ( 56 × 31 × 516 ) / 4

LCM(56,31,516) = 895776 / 4

LCM(56,31,516) = 223944


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 27/56, 837/31, 189/516

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 27/56, 837/31, 189/516?

Answer: GCF of Numerators as per given numbers 27/56, 837/31, 189/516 is

GCF of Numerators i.e. for 27,837,189 is 27

LCM of denominators i.e. for 56,31,516 is 223944.

Thus, GCF of Fractions is 27/223944.Finally, GCF of Fractions for 27/56, 837/31, 189/516 is 27/223944.