Greatest Common Factor of 1976/13, 8310/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1976/13, 8310/491

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 1976/13,8310/491

Given fractions are 1976/13,8310/491

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 1976,8310

Greatest Common Factor of Numerators i.e. GCF of 1976,8310 is 2 .

LCM of Denominators means LCM of 13,491 as per the given fractions.

LCM of 13,491 is 6383 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1976,8310

GCF of Fractions 1976/13,8310/491 is 2/6383

2 1976, 8310
988, 4155

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1976,8310 By Matching Biggest Common Factor Method

Greatest Common Factor of 1976,8310 By Matching Biggest Common Factor Method

Factors of 1976

List of positive integer factors of 1976 that divides 1976 without a remainder.

1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Greatest Common Factor

We found the factors 1976,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,8310 is 2.

Lets's calculate LCM of 13,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 6383

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6383

Therefore, the GCF of Fractions 1976/13,8310/491 is 2/6383

Least Common Multiple of 13,491 with GCF Formula

Least Common Multiple of 13,491 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 13,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,491) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(13,491) x common factors =1 x 1 = 1

LCM(13,491) = ( 13 × 491 ) / 1

LCM(13,491) = 6383 / 1

LCM(13,491) = 6383


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 1976/13, 8310/491

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 1976/13, 8310/491?

Answer: GCF of Numerators as per given numbers 1976/13, 8310/491 is

GCF of Numerators i.e. for 1976,8310 is 2

LCM of denominators i.e. for 13,491 is 6383.

Thus, GCF of Fractions is 2/6383.Finally, GCF of Fractions for 1976/13, 8310/491 is 2/6383.