Greatest Common Factor of 12/31, 75/31, 65/66, 97/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/31, 75/31, 65/66, 97/559

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 12/31,75/31,65/66,97/559

Given fractions are 12/31,75/31,65/66,97/559

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 12,75,65,97

Greatest Common Factor of Numerators i.e. GCF of 12,75,65,97 is 1 .

LCM of Denominators means LCM of 31,31,66,559 as per the given fractions.

LCM of 31,31,66,559 is 1143714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,75,65,97

GCF of Fractions 12/31,75/31,65/66,97/559 is 1/1143714

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

Greatest Common Factor of 12,75,65,97 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,75,65,97 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors 12,75,65,97 . The biggest common factor number is the GCF number.
So the greatest common factor 12,75,65,97 is 1.

Lets's calculate LCM of 31,31,66,559

31 31, 31, 66, 559
1, 1, 66, 559

∴ So the LCM of the given numbers is 31 x 1 x 1 x 66 x 559 = 1143714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1143714

Therefore, the GCF of Fractions 12/31,75/31,65/66,97/559 is 1/1143714

Least Common Multiple of 31,31,66,559 with GCF Formula

Least Common Multiple of 31,31,66,559 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 31,31,66,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,31,66,559) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,31,66,559) x common factors =1 x 31 = 31

LCM(31,31,66,559) = ( 31 × 31 × 66 × 559 ) / 31

LCM(31,31,66,559) = 35455134 / 31

LCM(31,31,66,559) = 1143714


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 12/31, 75/31, 65/66, 97/559

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 12/31, 75/31, 65/66, 97/559?

Answer: GCF of Numerators as per given numbers 12/31, 75/31, 65/66, 97/559 is

GCF of Numerators i.e. for 12,75,65,97 is 1

LCM of denominators i.e. for 31,31,66,559 is 1143714.

Thus, GCF of Fractions is 1/1143714.Finally, GCF of Fractions for 12/31, 75/31, 65/66, 97/559 is 1/1143714.