Greatest Common Factor of 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2

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 95/5,21/9,99/7,69/7,471/6,54/6,54/7,368/5,13/5,41/2

Given fractions are 95/5,21/9,99/7,69/7,471/6,54/6,54/7,368/5,13/5,41/2

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 95,21,99,69,471,54,54,368,13,41

Greatest Common Factor of Numerators i.e. GCF of 95,21,99,69,471,54,54,368,13,41 is 1 .

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

LCM of 5,9,7,7,6,6,7,5,5,2 is 630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,21,99,69,471,54,54,368,13,41

GCF of Fractions 95/5,21/9,99/7,69/7,471/6,54/6,54/7,368/5,13/5,41/2 is 1/630

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

Greatest Common Factor of 95,21,99,69,471,54,54,368,13,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,21,99,69,471,54,54,368,13,41 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 21

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

1,3,7,21

Factors of 99

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

1,3,9,11,33,99

Factors of 69

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

1,3,23,69

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

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 54

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

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

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 95,21,99,69,471,54,54,368,13,41 . The biggest common factor number is the GCF number.
So the greatest common factor 95,21,99,69,471,54,54,368,13,41 is 1.

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

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

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 1 x 1 x 1 x 3 x 1 x 1 x 1 x 1 = 630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630

Therefore, the GCF of Fractions 95/5,21/9,99/7,69/7,471/6,54/6,54/7,368/5,13/5,41/2 is 1/630

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

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

GCF(5,9,7,7,6,6,7,5,5,2) = 1

common factors(in case of two or more numbers have common factors) = 44100

GCF(5,9,7,7,6,6,7,5,5,2) x common factors =1 x 44100 = 44100

LCM(5,9,7,7,6,6,7,5,5,2) = ( 5 × 9 × 7 × 7 × 6 × 6 × 7 × 5 × 5 × 2 ) / 44100

LCM(5,9,7,7,6,6,7,5,5,2) = 27783000 / 44100

LCM(5,9,7,7,6,6,7,5,5,2) = 630


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 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2

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 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2?

Answer: GCF of Numerators as per given numbers 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2 is

GCF of Numerators i.e. for 95,21,99,69,471,54,54,368,13,41 is 1

LCM of denominators i.e. for 5,9,7,7,6,6,7,5,5,2 is 630.

Thus, GCF of Fractions is 1/630.Finally, GCF of Fractions for 95/5, 21/9, 99/7, 69/7, 471/6, 54/6, 54/7, 368/5, 13/5, 41/2 is 1/630.