Greatest Common Factor of 72/27, 40/42, 12/84, 26/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/27, 40/42, 12/84, 26/176

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 72/27,40/42,12/84,26/176

Given fractions are 72/27,40/42,12/84,26/176

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 72,40,12,26

Greatest Common Factor of Numerators i.e. GCF of 72,40,12,26 is 2 .

LCM of Denominators means LCM of 27,42,84,176 as per the given fractions.

LCM of 27,42,84,176 is 33264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,40,12,26

GCF of Fractions 72/27,40/42,12/84,26/176 is 2/33264

2 72, 40, 12, 26
36, 20, 6, 13

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

Greatest Common Factor of 72,40,12,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,40,12,26 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 12

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

1,2,3,4,6,12

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 72,40,12,26 . The biggest common factor number is the GCF number.
So the greatest common factor 72,40,12,26 is 2.

Lets's calculate LCM of 27,42,84,176

2 27, 42, 84, 176
2 27, 21, 42, 88
3 27, 21, 21, 44
7 9, 7, 7, 44
9, 1, 1, 44

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 1 x 1 x 44 = 33264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33264

Therefore, the GCF of Fractions 72/27,40/42,12/84,26/176 is 2/33264

Least Common Multiple of 27,42,84,176 with GCF Formula

Least Common Multiple of 27,42,84,176 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 27,42,84,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,42,84,176) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(27,42,84,176) x common factors =1 x 504 = 504

LCM(27,42,84,176) = ( 27 × 42 × 84 × 176 ) / 504

LCM(27,42,84,176) = 16765056 / 504

LCM(27,42,84,176) = 33264


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 72/27, 40/42, 12/84, 26/176

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 72/27, 40/42, 12/84, 26/176?

Answer: GCF of Numerators as per given numbers 72/27, 40/42, 12/84, 26/176 is

GCF of Numerators i.e. for 72,40,12,26 is 2

LCM of denominators i.e. for 27,42,84,176 is 33264.

Thus, GCF of Fractions is 2/33264.Finally, GCF of Fractions for 72/27, 40/42, 12/84, 26/176 is 2/33264.