Greatest Common Factor of 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9

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 58/6,14/3,94/6,98/1,449/4,35/6,29/2,177/1,79/1,78/9

Given fractions are 58/6,14/3,94/6,98/1,449/4,35/6,29/2,177/1,79/1,78/9

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 58,14,94,98,449,35,29,177,79,78

Greatest Common Factor of Numerators i.e. GCF of 58,14,94,98,449,35,29,177,79,78 is 1 .

LCM of Denominators means LCM of 6,3,6,1,4,6,2,1,1,9 as per the given fractions.

LCM of 6,3,6,1,4,6,2,1,1,9 is 36 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,14,94,98,449,35,29,177,79,78

GCF of Fractions 58/6,14/3,94/6,98/1,449/4,35/6,29/2,177/1,79/1,78/9 is 1/36

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

Greatest Common Factor of 58,14,94,98,449,35,29,177,79,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,14,94,98,449,35,29,177,79,78 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 29

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

1,29

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 58,14,94,98,449,35,29,177,79,78 . The biggest common factor number is the GCF number.
So the greatest common factor 58,14,94,98,449,35,29,177,79,78 is 1.

Lets's calculate LCM of 6,3,6,1,4,6,2,1,1,9

2 6, 3, 6, 1, 4, 6, 2, 1, 1, 9
3 3, 3, 3, 1, 2, 3, 1, 1, 1, 9
1, 1, 1, 1, 2, 1, 1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 1 x 1 x 2 x 1 x 1 x 1 x 1 x 3 = 36

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36

Therefore, the GCF of Fractions 58/6,14/3,94/6,98/1,449/4,35/6,29/2,177/1,79/1,78/9 is 1/36

Least Common Multiple of 6,3,6,1,4,6,2,1,1,9 with GCF Formula

Least Common Multiple of 6,3,6,1,4,6,2,1,1,9 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 6,3,6,1,4,6,2,1,1,9 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,3,6,1,4,6,2,1,1,9) = 1

common factors(in case of two or more numbers have common factors) = 1296

GCF(6,3,6,1,4,6,2,1,1,9) x common factors =1 x 1296 = 1296

LCM(6,3,6,1,4,6,2,1,1,9) = ( 6 × 3 × 6 × 1 × 4 × 6 × 2 × 1 × 1 × 9 ) / 1296

LCM(6,3,6,1,4,6,2,1,1,9) = 46656 / 1296

LCM(6,3,6,1,4,6,2,1,1,9) = 36


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 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9

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 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9?

Answer: GCF of Numerators as per given numbers 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9 is

GCF of Numerators i.e. for 58,14,94,98,449,35,29,177,79,78 is 1

LCM of denominators i.e. for 6,3,6,1,4,6,2,1,1,9 is 36.

Thus, GCF of Fractions is 1/36.Finally, GCF of Fractions for 58/6, 14/3, 94/6, 98/1, 449/4, 35/6, 29/2, 177/1, 79/1, 78/9 is 1/36.