Greatest Common Factor of 962/39, 586/91, 491/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/39, 586/91, 491/103

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 962/39,586/91,491/103

Given fractions are 962/39,586/91,491/103

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 962,586,491

Greatest Common Factor of Numerators i.e. GCF of 962,586,491 is 1 .

LCM of Denominators means LCM of 39,91,103 as per the given fractions.

LCM of 39,91,103 is 28119 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,586,491

GCF of Fractions 962/39,586/91,491/103 is 1/28119

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

Greatest Common Factor of 962,586,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,586,491 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 962,586,491 . The biggest common factor number is the GCF number.
So the greatest common factor 962,586,491 is 1.

Lets's calculate LCM of 39,91,103

13 39, 91, 103
3, 7, 103

∴ So the LCM of the given numbers is 13 x 3 x 7 x 103 = 28119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28119

Therefore, the GCF of Fractions 962/39,586/91,491/103 is 1/28119

Least Common Multiple of 39,91,103 with GCF Formula

Least Common Multiple of 39,91,103 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 39,91,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,91,103) = 1

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

GCF(39,91,103) x common factors =1 x 13 = 13

LCM(39,91,103) = ( 39 × 91 × 103 ) / 13

LCM(39,91,103) = 365547 / 13

LCM(39,91,103) = 28119


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 962/39, 586/91, 491/103

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 962/39, 586/91, 491/103?

Answer: GCF of Numerators as per given numbers 962/39, 586/91, 491/103 is

GCF of Numerators i.e. for 962,586,491 is 1

LCM of denominators i.e. for 39,91,103 is 28119.

Thus, GCF of Fractions is 1/28119.Finally, GCF of Fractions for 962/39, 586/91, 491/103 is 1/28119.