Greatest Common Factor of 36/18, 24/23, 120/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/18, 24/23, 120/924

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 36/18,24/23,120/924

Given fractions are 36/18,24/23,120/924

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 36,24,120

Greatest Common Factor of Numerators i.e. GCF of 36,24,120 is 12 .

LCM of Denominators means LCM of 18,23,924 as per the given fractions.

LCM of 18,23,924 is 63756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,24,120

GCF of Fractions 36/18,24/23,120/924 is 12/63756

2 36, 24, 120
2 18, 12, 60
3 9, 6, 30
3, 2, 10

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 36,24,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,24,120 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 36,24,120 . The biggest common factor number is the GCF number.
So the greatest common factor 36,24,120 is 12.

Lets's calculate LCM of 18,23,924

2 18, 23, 924
3 9, 23, 462
3, 23, 154

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 154 = 63756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/63756

Therefore, the GCF of Fractions 36/18,24/23,120/924 is 12/63756

Least Common Multiple of 18,23,924 with GCF Formula

Least Common Multiple of 18,23,924 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 18,23,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,23,924) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,23,924) x common factors =1 x 6 = 6

LCM(18,23,924) = ( 18 × 23 × 924 ) / 6

LCM(18,23,924) = 382536 / 6

LCM(18,23,924) = 63756


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 36/18, 24/23, 120/924

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 36/18, 24/23, 120/924?

Answer: GCF of Numerators as per given numbers 36/18, 24/23, 120/924 is

GCF of Numerators i.e. for 36,24,120 is 12

LCM of denominators i.e. for 18,23,924 is 63756.

Thus, GCF of Fractions is 12/63756.Finally, GCF of Fractions for 36/18, 24/23, 120/924 is 12/63756.