Greatest Common Factor of 21/54, 84/33, 64/77, 12/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/54, 84/33, 64/77, 12/946

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 21/54,84/33,64/77,12/946

Given fractions are 21/54,84/33,64/77,12/946

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 21,84,64,12

Greatest Common Factor of Numerators i.e. GCF of 21,84,64,12 is 1 .

LCM of Denominators means LCM of 54,33,77,946 as per the given fractions.

LCM of 54,33,77,946 is 178794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,84,64,12

GCF of Fractions 21/54,84/33,64/77,12/946 is 1/178794

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 21,84,64,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,84,64,12 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 12

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

1,2,3,4,6,12

Greatest Common Factor

We found the factors 21,84,64,12 . The biggest common factor number is the GCF number.
So the greatest common factor 21,84,64,12 is 1.

Lets's calculate LCM of 54,33,77,946

2 54, 33, 77, 946
3 27, 33, 77, 473
11 9, 11, 77, 473
9, 1, 7, 43

∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 1 x 7 x 43 = 178794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178794

Therefore, the GCF of Fractions 21/54,84/33,64/77,12/946 is 1/178794

Least Common Multiple of 54,33,77,946 with GCF Formula

Least Common Multiple of 54,33,77,946 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 54,33,77,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,33,77,946) = 1

common factors(in case of two or more numbers have common factors) = 726

GCF(54,33,77,946) x common factors =1 x 726 = 726

LCM(54,33,77,946) = ( 54 × 33 × 77 × 946 ) / 726

LCM(54,33,77,946) = 129804444 / 726

LCM(54,33,77,946) = 178794


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 21/54, 84/33, 64/77, 12/946

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 21/54, 84/33, 64/77, 12/946?

Answer: GCF of Numerators as per given numbers 21/54, 84/33, 64/77, 12/946 is

GCF of Numerators i.e. for 21,84,64,12 is 1

LCM of denominators i.e. for 54,33,77,946 is 178794.

Thus, GCF of Fractions is 1/178794.Finally, GCF of Fractions for 21/54, 84/33, 64/77, 12/946 is 1/178794.