Greatest Common Factor of 27/95, 95/37, 80/60, 839/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/95, 95/37, 80/60, 839/37

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 27/95,95/37,80/60,839/37

Given fractions are 27/95,95/37,80/60,839/37

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 27,95,80,839

Greatest Common Factor of Numerators i.e. GCF of 27,95,80,839 is 1 .

LCM of Denominators means LCM of 95,37,60,37 as per the given fractions.

LCM of 95,37,60,37 is 42180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,95,80,839

GCF of Fractions 27/95,95/37,80/60,839/37 is 1/42180

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

Greatest Common Factor of 27,95,80,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,95,80,839 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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 27,95,80,839 . The biggest common factor number is the GCF number.
So the greatest common factor 27,95,80,839 is 1.

Lets's calculate LCM of 95,37,60,37

5 95, 37, 60, 37
37 19, 37, 12, 37
19, 1, 12, 1

∴ So the LCM of the given numbers is 5 x 37 x 19 x 1 x 12 x 1 = 42180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42180

Therefore, the GCF of Fractions 27/95,95/37,80/60,839/37 is 1/42180

Least Common Multiple of 95,37,60,37 with GCF Formula

Least Common Multiple of 95,37,60,37 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 95,37,60,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,37,60,37) = 1

common factors(in case of two or more numbers have common factors) = 185

GCF(95,37,60,37) x common factors =1 x 185 = 185

LCM(95,37,60,37) = ( 95 × 37 × 60 × 37 ) / 185

LCM(95,37,60,37) = 7803300 / 185

LCM(95,37,60,37) = 42180


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 27/95, 95/37, 80/60, 839/37

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 27/95, 95/37, 80/60, 839/37?

Answer: GCF of Numerators as per given numbers 27/95, 95/37, 80/60, 839/37 is

GCF of Numerators i.e. for 27,95,80,839 is 1

LCM of denominators i.e. for 95,37,60,37 is 42180.

Thus, GCF of Fractions is 1/42180.Finally, GCF of Fractions for 27/95, 95/37, 80/60, 839/37 is 1/42180.