Greatest Common Factor of 31/91, 30/81, 968/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/91, 30/81, 968/806

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 31/91,30/81,968/806

Given fractions are 31/91,30/81,968/806

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 31,30,968

Greatest Common Factor of Numerators i.e. GCF of 31,30,968 is 1 .

LCM of Denominators means LCM of 91,81,806 as per the given fractions.

LCM of 91,81,806 is 457002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,30,968

GCF of Fractions 31/91,30/81,968/806 is 1/457002

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

Greatest Common Factor of 31,30,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,30,968 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 31,30,968 . The biggest common factor number is the GCF number.
So the greatest common factor 31,30,968 is 1.

Lets's calculate LCM of 91,81,806

13 91, 81, 806
7, 81, 62

∴ So the LCM of the given numbers is 13 x 7 x 81 x 62 = 457002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457002

Therefore, the GCF of Fractions 31/91,30/81,968/806 is 1/457002

Least Common Multiple of 91,81,806 with GCF Formula

Least Common Multiple of 91,81,806 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 91,81,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,81,806) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,81,806) x common factors =1 x 13 = 13

LCM(91,81,806) = ( 91 × 81 × 806 ) / 13

LCM(91,81,806) = 5941026 / 13

LCM(91,81,806) = 457002


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 31/91, 30/81, 968/806

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 31/91, 30/81, 968/806?

Answer: GCF of Numerators as per given numbers 31/91, 30/81, 968/806 is

GCF of Numerators i.e. for 31,30,968 is 1

LCM of denominators i.e. for 91,81,806 is 457002.

Thus, GCF of Fractions is 1/457002.Finally, GCF of Fractions for 31/91, 30/81, 968/806 is 1/457002.