Greatest Common Factor of 42/31, 54/36, 315/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/31, 54/36, 315/53

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 42/31,54/36,315/53

Given fractions are 42/31,54/36,315/53

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 42,54,315

Greatest Common Factor of Numerators i.e. GCF of 42,54,315 is 3 .

LCM of Denominators means LCM of 31,36,53 as per the given fractions.

LCM of 31,36,53 is 59148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,54,315

GCF of Fractions 42/31,54/36,315/53 is 3/59148

3 42, 54, 315
14, 18, 105

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

Greatest Common Factor of 42,54,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,54,315 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 42,54,315 . The biggest common factor number is the GCF number.
So the greatest common factor 42,54,315 is 3.

Lets's calculate LCM of 31,36,53

Given numbers has no common factors except 1. So, there LCM is their product i.e 59148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59148

Therefore, the GCF of Fractions 42/31,54/36,315/53 is 3/59148

Least Common Multiple of 31,36,53 with GCF Formula

Least Common Multiple of 31,36,53 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 31,36,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,36,53) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,36,53) x common factors =1 x 1 = 1

LCM(31,36,53) = ( 31 × 36 × 53 ) / 1

LCM(31,36,53) = 59148 / 1

LCM(31,36,53) = 59148


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 42/31, 54/36, 315/53

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 42/31, 54/36, 315/53?

Answer: GCF of Numerators as per given numbers 42/31, 54/36, 315/53 is

GCF of Numerators i.e. for 42,54,315 is 3

LCM of denominators i.e. for 31,36,53 is 59148.

Thus, GCF of Fractions is 3/59148.Finally, GCF of Fractions for 42/31, 54/36, 315/53 is 3/59148.