Greatest Common Factor of 75/44, 27/234, 546/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/44, 27/234, 546/135

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 75/44,27/234,546/135

Given fractions are 75/44,27/234,546/135

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 75,27,546

Greatest Common Factor of Numerators i.e. GCF of 75,27,546 is 3 .

LCM of Denominators means LCM of 44,234,135 as per the given fractions.

LCM of 44,234,135 is 77220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,27,546

GCF of Fractions 75/44,27/234,546/135 is 3/77220

3 75, 27, 546
25, 9, 182

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

Greatest Common Factor of 75,27,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,27,546 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 75,27,546 . The biggest common factor number is the GCF number.
So the greatest common factor 75,27,546 is 3.

Lets's calculate LCM of 44,234,135

2 44, 234, 135
3 22, 117, 135
3 22, 39, 45
22, 13, 15

∴ So the LCM of the given numbers is 2 x 3 x 3 x 22 x 13 x 15 = 77220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77220

Therefore, the GCF of Fractions 75/44,27/234,546/135 is 3/77220

Least Common Multiple of 44,234,135 with GCF Formula

Least Common Multiple of 44,234,135 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 44,234,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,234,135) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(44,234,135) x common factors =1 x 18 = 18

LCM(44,234,135) = ( 44 × 234 × 135 ) / 18

LCM(44,234,135) = 1389960 / 18

LCM(44,234,135) = 77220


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 75/44, 27/234, 546/135

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 75/44, 27/234, 546/135?

Answer: GCF of Numerators as per given numbers 75/44, 27/234, 546/135 is

GCF of Numerators i.e. for 75,27,546 is 3

LCM of denominators i.e. for 44,234,135 is 77220.

Thus, GCF of Fractions is 3/77220.Finally, GCF of Fractions for 75/44, 27/234, 546/135 is 3/77220.