Greatest Common Factor of 72/85, 12/24, 368/81

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/85, 12/24, 368/81

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 72/85,12/24,368/81

Given fractions are 72/85,12/24,368/81

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 72,12,368

Greatest Common Factor of Numerators i.e. GCF of 72,12,368 is 4 .

LCM of Denominators means LCM of 85,24,81 as per the given fractions.

LCM of 85,24,81 is 55080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,12,368

GCF of Fractions 72/85,12/24,368/81 is 4/55080

2 72, 12, 368
2 36, 6, 184
18, 3, 92

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 72,12,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,368 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 12

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

1,2,3,4,6,12

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 72,12,368 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,368 is 4.

Lets's calculate LCM of 85,24,81

3 85, 24, 81
85, 8, 27

∴ So the LCM of the given numbers is 3 x 85 x 8 x 27 = 55080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55080

Therefore, the GCF of Fractions 72/85,12/24,368/81 is 4/55080

Least Common Multiple of 85,24,81 with GCF Formula

Least Common Multiple of 85,24,81 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 85,24,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,24,81) = 1

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

GCF(85,24,81) x common factors =1 x 3 = 3

LCM(85,24,81) = ( 85 × 24 × 81 ) / 3

LCM(85,24,81) = 165240 / 3

LCM(85,24,81) = 55080


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 72/85, 12/24, 368/81

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 72/85, 12/24, 368/81?

Answer: GCF of Numerators as per given numbers 72/85, 12/24, 368/81 is

GCF of Numerators i.e. for 72,12,368 is 4

LCM of denominators i.e. for 85,24,81 is 55080.

Thus, GCF of Fractions is 4/55080.Finally, GCF of Fractions for 72/85, 12/24, 368/81 is 4/55080.