Greatest Common Factor of 91/51, 20/49, 67/12, 13/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/51, 20/49, 67/12, 13/68

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 91/51,20/49,67/12,13/68

Given fractions are 91/51,20/49,67/12,13/68

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 91,20,67,13

Greatest Common Factor of Numerators i.e. GCF of 91,20,67,13 is 1 .

LCM of Denominators means LCM of 51,49,12,68 as per the given fractions.

LCM of 51,49,12,68 is 9996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,20,67,13

GCF of Fractions 91/51,20/49,67/12,13/68 is 1/9996

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

Greatest Common Factor of 91,20,67,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,20,67,13 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 13

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

1,13

Greatest Common Factor

We found the factors 91,20,67,13 . The biggest common factor number is the GCF number.
So the greatest common factor 91,20,67,13 is 1.

Lets's calculate LCM of 51,49,12,68

2 51, 49, 12, 68
2 51, 49, 6, 34
3 51, 49, 3, 17
17 17, 49, 1, 17
1, 49, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 49 x 1 x 1 = 9996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9996

Therefore, the GCF of Fractions 91/51,20/49,67/12,13/68 is 1/9996

Least Common Multiple of 51,49,12,68 with GCF Formula

Least Common Multiple of 51,49,12,68 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 51,49,12,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,49,12,68) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(51,49,12,68) x common factors =1 x 204 = 204

LCM(51,49,12,68) = ( 51 × 49 × 12 × 68 ) / 204

LCM(51,49,12,68) = 2039184 / 204

LCM(51,49,12,68) = 9996


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 91/51, 20/49, 67/12, 13/68

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 91/51, 20/49, 67/12, 13/68?

Answer: GCF of Numerators as per given numbers 91/51, 20/49, 67/12, 13/68 is

GCF of Numerators i.e. for 91,20,67,13 is 1

LCM of denominators i.e. for 51,49,12,68 is 9996.

Thus, GCF of Fractions is 1/9996.Finally, GCF of Fractions for 91/51, 20/49, 67/12, 13/68 is 1/9996.