Greatest Common Factor of 36/87, 42/39, 12/53, 75/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/87, 42/39, 12/53, 75/689

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 36/87,42/39,12/53,75/689

Given fractions are 36/87,42/39,12/53,75/689

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 36,42,12,75

Greatest Common Factor of Numerators i.e. GCF of 36,42,12,75 is 3 .

LCM of Denominators means LCM of 87,39,53,689 as per the given fractions.

LCM of 87,39,53,689 is 59943 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,42,12,75

GCF of Fractions 36/87,42/39,12/53,75/689 is 3/59943

3 36, 42, 12, 75
12, 14, 4, 25

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

Greatest Common Factor of 36,42,12,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,42,12,75 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 36,42,12,75 . The biggest common factor number is the GCF number.
So the greatest common factor 36,42,12,75 is 3.

Lets's calculate LCM of 87,39,53,689

3 87, 39, 53, 689
13 29, 13, 53, 689
53 29, 1, 53, 53
29, 1, 1, 1

∴ So the LCM of the given numbers is 3 x 13 x 53 x 29 x 1 x 1 x 1 = 59943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59943

Therefore, the GCF of Fractions 36/87,42/39,12/53,75/689 is 3/59943

Least Common Multiple of 87,39,53,689 with GCF Formula

Least Common Multiple of 87,39,53,689 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 87,39,53,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,39,53,689) = 1

common factors(in case of two or more numbers have common factors) = 2067

GCF(87,39,53,689) x common factors =1 x 2067 = 2067

LCM(87,39,53,689) = ( 87 × 39 × 53 × 689 ) / 2067

LCM(87,39,53,689) = 123902181 / 2067

LCM(87,39,53,689) = 59943


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 36/87, 42/39, 12/53, 75/689

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 36/87, 42/39, 12/53, 75/689?

Answer: GCF of Numerators as per given numbers 36/87, 42/39, 12/53, 75/689 is

GCF of Numerators i.e. for 36,42,12,75 is 3

LCM of denominators i.e. for 87,39,53,689 is 59943.

Thus, GCF of Fractions is 3/59943.Finally, GCF of Fractions for 36/87, 42/39, 12/53, 75/689 is 3/59943.