Greatest Common Factor of 75/71, 21/71, 54/21, 996/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/71, 21/71, 54/21, 996/33

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 75/71,21/71,54/21,996/33

Given fractions are 75/71,21/71,54/21,996/33

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 75,21,54,996

Greatest Common Factor of Numerators i.e. GCF of 75,21,54,996 is 3 .

LCM of Denominators means LCM of 71,71,21,33 as per the given fractions.

LCM of 71,71,21,33 is 16401 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,21,54,996

GCF of Fractions 75/71,21/71,54/21,996/33 is 3/16401

3 75, 21, 54, 996
25, 7, 18, 332

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

Greatest Common Factor of 75,21,54,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,21,54,996 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 75,21,54,996 . The biggest common factor number is the GCF number.
So the greatest common factor 75,21,54,996 is 3.

Lets's calculate LCM of 71,71,21,33

3 71, 71, 21, 33
71 71, 71, 7, 11
1, 1, 7, 11

∴ So the LCM of the given numbers is 3 x 71 x 1 x 1 x 7 x 11 = 16401

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16401

Therefore, the GCF of Fractions 75/71,21/71,54/21,996/33 is 3/16401

Least Common Multiple of 71,71,21,33 with GCF Formula

Least Common Multiple of 71,71,21,33 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 71,71,21,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,71,21,33) = 1

common factors(in case of two or more numbers have common factors) = 213

GCF(71,71,21,33) x common factors =1 x 213 = 213

LCM(71,71,21,33) = ( 71 × 71 × 21 × 33 ) / 213

LCM(71,71,21,33) = 3493413 / 213

LCM(71,71,21,33) = 16401


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 75/71, 21/71, 54/21, 996/33

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 75/71, 21/71, 54/21, 996/33?

Answer: GCF of Numerators as per given numbers 75/71, 21/71, 54/21, 996/33 is

GCF of Numerators i.e. for 75,21,54,996 is 3

LCM of denominators i.e. for 71,71,21,33 is 16401.

Thus, GCF of Fractions is 3/16401.Finally, GCF of Fractions for 75/71, 21/71, 54/21, 996/33 is 3/16401.