Greatest Common Factor of 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8

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 12/6,58/6,43/6,73/7,838/6,55/4,24/7,796/5,16/5,76/8

Given fractions are 12/6,58/6,43/6,73/7,838/6,55/4,24/7,796/5,16/5,76/8

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 12,58,43,73,838,55,24,796,16,76

Greatest Common Factor of Numerators i.e. GCF of 12,58,43,73,838,55,24,796,16,76 is 1 .

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

LCM of 6,6,6,7,6,4,7,5,5,8 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,58,43,73,838,55,24,796,16,76

GCF of Fractions 12/6,58/6,43/6,73/7,838/6,55/4,24/7,796/5,16/5,76/8 is 1/840

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

Greatest Common Factor of 12,58,43,73,838,55,24,796,16,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,58,43,73,838,55,24,796,16,76 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 58

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

1,2,29,58

Factors of 43

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

1,43

Factors of 73

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

1,73

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 76

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

1,2,4,19,38,76

Greatest Common Factor

We found the factors 12,58,43,73,838,55,24,796,16,76 . The biggest common factor number is the GCF number.
So the greatest common factor 12,58,43,73,838,55,24,796,16,76 is 1.

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

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

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 2 = 840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/840

Therefore, the GCF of Fractions 12/6,58/6,43/6,73/7,838/6,55/4,24/7,796/5,16/5,76/8 is 1/840

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

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

GCF(6,6,6,7,6,4,7,5,5,8) = 1

common factors(in case of two or more numbers have common factors) = 60480

GCF(6,6,6,7,6,4,7,5,5,8) x common factors =1 x 60480 = 60480

LCM(6,6,6,7,6,4,7,5,5,8) = ( 6 × 6 × 6 × 7 × 6 × 4 × 7 × 5 × 5 × 8 ) / 60480

LCM(6,6,6,7,6,4,7,5,5,8) = 50803200 / 60480

LCM(6,6,6,7,6,4,7,5,5,8) = 840


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 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8

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 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8?

Answer: GCF of Numerators as per given numbers 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8 is

GCF of Numerators i.e. for 12,58,43,73,838,55,24,796,16,76 is 1

LCM of denominators i.e. for 6,6,6,7,6,4,7,5,5,8 is 840.

Thus, GCF of Fractions is 1/840.Finally, GCF of Fractions for 12/6, 58/6, 43/6, 73/7, 838/6, 55/4, 24/7, 796/5, 16/5, 76/8 is 1/840.