Greatest Common Factor of 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1

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 66/9,69/4,80/3,73/3,852/3,21/7,96/4,626/9,21/4,28/1

Given fractions are 66/9,69/4,80/3,73/3,852/3,21/7,96/4,626/9,21/4,28/1

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 66,69,80,73,852,21,96,626,21,28

Greatest Common Factor of Numerators i.e. GCF of 66,69,80,73,852,21,96,626,21,28 is 1 .

LCM of Denominators means LCM of 9,4,3,3,3,7,4,9,4,1 as per the given fractions.

LCM of 9,4,3,3,3,7,4,9,4,1 is 252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,69,80,73,852,21,96,626,21,28

GCF of Fractions 66/9,69/4,80/3,73/3,852/3,21/7,96/4,626/9,21/4,28/1 is 1/252

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

Greatest Common Factor of 66,69,80,73,852,21,96,626,21,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,69,80,73,852,21,96,626,21,28 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

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 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 21

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

1,3,7,21

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 21

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

1,3,7,21

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 66,69,80,73,852,21,96,626,21,28 . The biggest common factor number is the GCF number.
So the greatest common factor 66,69,80,73,852,21,96,626,21,28 is 1.

Lets's calculate LCM of 9,4,3,3,3,7,4,9,4,1

2 9, 4, 3, 3, 3, 7, 4, 9, 4, 1
2 9, 2, 3, 3, 3, 7, 2, 9, 2, 1
3 9, 1, 3, 3, 3, 7, 1, 9, 1, 1
3 1, 1, 1, 1, 3, 7, 1, 3, 1, 1
1, 1, 1, 1, 1, 7, 1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 1 x 1 x 1 x 7 x 1 x 1 x 1 x 1 = 252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252

Therefore, the GCF of Fractions 66/9,69/4,80/3,73/3,852/3,21/7,96/4,626/9,21/4,28/1 is 1/252

Least Common Multiple of 9,4,3,3,3,7,4,9,4,1 with GCF Formula

Least Common Multiple of 9,4,3,3,3,7,4,9,4,1 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 9,4,3,3,3,7,4,9,4,1 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,4,3,3,3,7,4,9,4,1) = 1

common factors(in case of two or more numbers have common factors) = 3888

GCF(9,4,3,3,3,7,4,9,4,1) x common factors =1 x 3888 = 3888

LCM(9,4,3,3,3,7,4,9,4,1) = ( 9 × 4 × 3 × 3 × 3 × 7 × 4 × 9 × 4 × 1 ) / 3888

LCM(9,4,3,3,3,7,4,9,4,1) = 979776 / 3888

LCM(9,4,3,3,3,7,4,9,4,1) = 252


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 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1

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 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1?

Answer: GCF of Numerators as per given numbers 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1 is

GCF of Numerators i.e. for 66,69,80,73,852,21,96,626,21,28 is 1

LCM of denominators i.e. for 9,4,3,3,3,7,4,9,4,1 is 252.

Thus, GCF of Fractions is 1/252.Finally, GCF of Fractions for 66/9, 69/4, 80/3, 73/3, 852/3, 21/7, 96/4, 626/9, 21/4, 28/1 is 1/252.