Greatest Common Factor of 62/39, 10/59, 540/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/39, 10/59, 540/75

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 62/39,10/59,540/75

Given fractions are 62/39,10/59,540/75

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 62,10,540

Greatest Common Factor of Numerators i.e. GCF of 62,10,540 is 2 .

LCM of Denominators means LCM of 39,59,75 as per the given fractions.

LCM of 39,59,75 is 57525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,10,540

GCF of Fractions 62/39,10/59,540/75 is 2/57525

2 62, 10, 540
31, 5, 270

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 62,10,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,10,540 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 62,10,540 . The biggest common factor number is the GCF number.
So the greatest common factor 62,10,540 is 2.

Lets's calculate LCM of 39,59,75

3 39, 59, 75
13, 59, 25

∴ So the LCM of the given numbers is 3 x 13 x 59 x 25 = 57525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57525

Therefore, the GCF of Fractions 62/39,10/59,540/75 is 2/57525

Least Common Multiple of 39,59,75 with GCF Formula

Least Common Multiple of 39,59,75 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 39,59,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,59,75) = 1

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

GCF(39,59,75) x common factors =1 x 3 = 3

LCM(39,59,75) = ( 39 × 59 × 75 ) / 3

LCM(39,59,75) = 172575 / 3

LCM(39,59,75) = 57525


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 62/39, 10/59, 540/75

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 62/39, 10/59, 540/75?

Answer: GCF of Numerators as per given numbers 62/39, 10/59, 540/75 is

GCF of Numerators i.e. for 62,10,540 is 2

LCM of denominators i.e. for 39,59,75 is 57525.

Thus, GCF of Fractions is 2/57525.Finally, GCF of Fractions for 62/39, 10/59, 540/75 is 2/57525.