Greatest Common Factor of 37/60, 25/89, 94/91, 86/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/60, 25/89, 94/91, 86/159

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 37/60,25/89,94/91,86/159

Given fractions are 37/60,25/89,94/91,86/159

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 37,25,94,86

Greatest Common Factor of Numerators i.e. GCF of 37,25,94,86 is 1 .

LCM of Denominators means LCM of 60,89,91,159 as per the given fractions.

LCM of 60,89,91,159 is 25754820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,25,94,86

GCF of Fractions 37/60,25/89,94/91,86/159 is 1/25754820

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

Greatest Common Factor of 37,25,94,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,25,94,86 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 37,25,94,86 . The biggest common factor number is the GCF number.
So the greatest common factor 37,25,94,86 is 1.

Lets's calculate LCM of 60,89,91,159

3 60, 89, 91, 159
20, 89, 91, 53

∴ So the LCM of the given numbers is 3 x 20 x 89 x 91 x 53 = 25754820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25754820

Therefore, the GCF of Fractions 37/60,25/89,94/91,86/159 is 1/25754820

Least Common Multiple of 60,89,91,159 with GCF Formula

Least Common Multiple of 60,89,91,159 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 60,89,91,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,89,91,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(60,89,91,159) x common factors =1 x 3 = 3

LCM(60,89,91,159) = ( 60 × 89 × 91 × 159 ) / 3

LCM(60,89,91,159) = 77264460 / 3

LCM(60,89,91,159) = 25754820


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 37/60, 25/89, 94/91, 86/159

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 37/60, 25/89, 94/91, 86/159?

Answer: GCF of Numerators as per given numbers 37/60, 25/89, 94/91, 86/159 is

GCF of Numerators i.e. for 37,25,94,86 is 1

LCM of denominators i.e. for 60,89,91,159 is 25754820.

Thus, GCF of Fractions is 1/25754820.Finally, GCF of Fractions for 37/60, 25/89, 94/91, 86/159 is 1/25754820.