Greatest Common Factor of 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2

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 99/9,21/7,29/6,62/4,642/3,76/6,93/5,624/8,77/9,92/2

Given fractions are 99/9,21/7,29/6,62/4,642/3,76/6,93/5,624/8,77/9,92/2

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 99,21,29,62,642,76,93,624,77,92

Greatest Common Factor of Numerators i.e. GCF of 99,21,29,62,642,76,93,624,77,92 is 1 .

LCM of Denominators means LCM of 9,7,6,4,3,6,5,8,9,2 as per the given fractions.

LCM of 9,7,6,4,3,6,5,8,9,2 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,21,29,62,642,76,93,624,77,92

GCF of Fractions 99/9,21/7,29/6,62/4,642/3,76/6,93/5,624/8,77/9,92/2 is 1/2520

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

Greatest Common Factor of 99,21,29,62,642,76,93,624,77,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,21,29,62,642,76,93,624,77,92 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 21

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

1,3,7,21

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 99,21,29,62,642,76,93,624,77,92 . The biggest common factor number is the GCF number.
So the greatest common factor 99,21,29,62,642,76,93,624,77,92 is 1.

Lets's calculate LCM of 9,7,6,4,3,6,5,8,9,2

2 9, 7, 6, 4, 3, 6, 5, 8, 9, 2
2 9, 7, 3, 2, 3, 3, 5, 4, 9, 1
3 9, 7, 3, 1, 3, 3, 5, 2, 9, 1
3 1, 7, 1, 1, 1, 3, 5, 2, 3, 1
1, 7, 1, 1, 1, 1, 5, 2, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 1 x 1 x 1 x 1 x 5 x 2 x 1 x 1 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 99/9,21/7,29/6,62/4,642/3,76/6,93/5,624/8,77/9,92/2 is 1/2520

Least Common Multiple of 9,7,6,4,3,6,5,8,9,2 with GCF Formula

Least Common Multiple of 9,7,6,4,3,6,5,8,9,2 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 9,7,6,4,3,6,5,8,9,2 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,7,6,4,3,6,5,8,9,2) = 1

common factors(in case of two or more numbers have common factors) = 7776

GCF(9,7,6,4,3,6,5,8,9,2) x common factors =1 x 7776 = 7776

LCM(9,7,6,4,3,6,5,8,9,2) = ( 9 × 7 × 6 × 4 × 3 × 6 × 5 × 8 × 9 × 2 ) / 7776

LCM(9,7,6,4,3,6,5,8,9,2) = 19595520 / 7776

LCM(9,7,6,4,3,6,5,8,9,2) = 2520


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 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2

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 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2?

Answer: GCF of Numerators as per given numbers 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2 is

GCF of Numerators i.e. for 99,21,29,62,642,76,93,624,77,92 is 1

LCM of denominators i.e. for 9,7,6,4,3,6,5,8,9,2 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 99/9, 21/7, 29/6, 62/4, 642/3, 76/6, 93/5, 624/8, 77/9, 92/2 is 1/2520.