Greatest Common Factor of 72/25, 36/83, 924/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/25, 36/83, 924/423

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 72/25,36/83,924/423

Given fractions are 72/25,36/83,924/423

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 72,36,924

Greatest Common Factor of Numerators i.e. GCF of 72,36,924 is 12 .

LCM of Denominators means LCM of 25,83,423 as per the given fractions.

LCM of 25,83,423 is 877725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,36,924

GCF of Fractions 72/25,36/83,924/423 is 12/877725

2 72, 36, 924
2 36, 18, 462
3 9, 18, 231
3, 6, 77

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

Greatest Common Factor of 72,36,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,36,924 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 72,36,924 . The biggest common factor number is the GCF number.
So the greatest common factor 72,36,924 is 12.

Lets's calculate LCM of 25,83,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 877725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/877725

Therefore, the GCF of Fractions 72/25,36/83,924/423 is 12/877725

Least Common Multiple of 25,83,423 with GCF Formula

Least Common Multiple of 25,83,423 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 25,83,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,83,423) = 1

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

GCF(25,83,423) x common factors =1 x 1 = 1

LCM(25,83,423) = ( 25 × 83 × 423 ) / 1

LCM(25,83,423) = 877725 / 1

LCM(25,83,423) = 877725


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 72/25, 36/83, 924/423

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 72/25, 36/83, 924/423?

Answer: GCF of Numerators as per given numbers 72/25, 36/83, 924/423 is

GCF of Numerators i.e. for 72,36,924 is 12

LCM of denominators i.e. for 25,83,423 is 877725.

Thus, GCF of Fractions is 12/877725.Finally, GCF of Fractions for 72/25, 36/83, 924/423 is 12/877725.