Greatest Common Factor of 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2

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 12/2,80/9,68/1,25/3,566/3,59/1,80/2,639/3,43/2,23/2

Given fractions are 12/2,80/9,68/1,25/3,566/3,59/1,80/2,639/3,43/2,23/2

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 12,80,68,25,566,59,80,639,43,23

Greatest Common Factor of Numerators i.e. GCF of 12,80,68,25,566,59,80,639,43,23 is 1 .

LCM of Denominators means LCM of 2,9,1,3,3,1,2,3,2,2 as per the given fractions.

LCM of 2,9,1,3,3,1,2,3,2,2 is 18 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,80,68,25,566,59,80,639,43,23

GCF of Fractions 12/2,80/9,68/1,25/3,566/3,59/1,80/2,639/3,43/2,23/2 is 1/18

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

Greatest Common Factor of 12,80,68,25,566,59,80,639,43,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,80,68,25,566,59,80,639,43,23 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 12,80,68,25,566,59,80,639,43,23 . The biggest common factor number is the GCF number.
So the greatest common factor 12,80,68,25,566,59,80,639,43,23 is 1.

Lets's calculate LCM of 2,9,1,3,3,1,2,3,2,2

2 2, 9, 1, 3, 3, 1, 2, 3, 2, 2
3 1, 9, 1, 3, 3, 1, 1, 3, 1, 1
1, 1, 1, 1, 1, 1, 1, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 3 x 1 x 1 = 18

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18

Therefore, the GCF of Fractions 12/2,80/9,68/1,25/3,566/3,59/1,80/2,639/3,43/2,23/2 is 1/18

Least Common Multiple of 2,9,1,3,3,1,2,3,2,2 with GCF Formula

Least Common Multiple of 2,9,1,3,3,1,2,3,2,2 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 2,9,1,3,3,1,2,3,2,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,9,1,3,3,1,2,3,2,2) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(2,9,1,3,3,1,2,3,2,2) x common factors =1 x 216 = 216

LCM(2,9,1,3,3,1,2,3,2,2) = ( 2 × 9 × 1 × 3 × 3 × 1 × 2 × 3 × 2 × 2 ) / 216

LCM(2,9,1,3,3,1,2,3,2,2) = 3888 / 216

LCM(2,9,1,3,3,1,2,3,2,2) = 18


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 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2

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 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2?

Answer: GCF of Numerators as per given numbers 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2 is

GCF of Numerators i.e. for 12,80,68,25,566,59,80,639,43,23 is 1

LCM of denominators i.e. for 2,9,1,3,3,1,2,3,2,2 is 18.

Thus, GCF of Fractions is 1/18.Finally, GCF of Fractions for 12/2, 80/9, 68/1, 25/3, 566/3, 59/1, 80/2, 639/3, 43/2, 23/2 is 1/18.