Greatest Common Factor of 37/78, 35/47, 93/42, 31/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/78, 35/47, 93/42, 31/132

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 37/78,35/47,93/42,31/132

Given fractions are 37/78,35/47,93/42,31/132

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 37,35,93,31

Greatest Common Factor of Numerators i.e. GCF of 37,35,93,31 is 1 .

LCM of Denominators means LCM of 78,47,42,132 as per the given fractions.

LCM of 78,47,42,132 is 564564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,35,93,31

GCF of Fractions 37/78,35/47,93/42,31/132 is 1/564564

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

Greatest Common Factor of 37,35,93,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,35,93,31 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 37,35,93,31 . The biggest common factor number is the GCF number.
So the greatest common factor 37,35,93,31 is 1.

Lets's calculate LCM of 78,47,42,132

2 78, 47, 42, 132
3 39, 47, 21, 66
13, 47, 7, 22

∴ So the LCM of the given numbers is 2 x 3 x 13 x 47 x 7 x 22 = 564564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564564

Therefore, the GCF of Fractions 37/78,35/47,93/42,31/132 is 1/564564

Least Common Multiple of 78,47,42,132 with GCF Formula

Least Common Multiple of 78,47,42,132 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 78,47,42,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,47,42,132) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(78,47,42,132) x common factors =1 x 36 = 36

LCM(78,47,42,132) = ( 78 × 47 × 42 × 132 ) / 36

LCM(78,47,42,132) = 20324304 / 36

LCM(78,47,42,132) = 564564


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 37/78, 35/47, 93/42, 31/132

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 37/78, 35/47, 93/42, 31/132?

Answer: GCF of Numerators as per given numbers 37/78, 35/47, 93/42, 31/132 is

GCF of Numerators i.e. for 37,35,93,31 is 1

LCM of denominators i.e. for 78,47,42,132 is 564564.

Thus, GCF of Fractions is 1/564564.Finally, GCF of Fractions for 37/78, 35/47, 93/42, 31/132 is 1/564564.