Greatest Common Factor of 8462/836, 9566/8966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8462/836, 9566/8966

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 8462/836,9566/8966

Given fractions are 8462/836,9566/8966

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 8462,9566

Greatest Common Factor of Numerators i.e. GCF of 8462,9566 is 2 .

LCM of Denominators means LCM of 836,8966 as per the given fractions.

LCM of 836,8966 is 3747788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8462,9566

GCF of Fractions 8462/836,9566/8966 is 2/3747788

2 8462, 9566
4231, 4783

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

Greatest Common Factor of 8462,9566 By Matching Biggest Common Factor Method

Greatest Common Factor of 8462,9566 By Matching Biggest Common Factor Method

Factors of 8462

List of positive integer factors of 8462 that divides 8462 without a remainder.

1,2,4231,8462

Factors of 9566

List of positive integer factors of 9566 that divides 9566 without a remainder.

1,2,4783,9566

Greatest Common Factor

We found the factors 8462,9566 . The biggest common factor number is the GCF number.
So the greatest common factor 8462,9566 is 2.

Lets's calculate LCM of 836,8966

2 836, 8966
418, 4483

∴ So the LCM of the given numbers is 2 x 418 x 4483 = 3747788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3747788

Therefore, the GCF of Fractions 8462/836,9566/8966 is 2/3747788

Least Common Multiple of 836,8966 with GCF Formula

Least Common Multiple of 836,8966 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 836,8966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,8966) = 2

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

GCF(836,8966) x common factors =2 x 1 = 2

LCM(836,8966) = ( 836 × 8966 ) / 2

LCM(836,8966) = 7495576 / 2

LCM(836,8966) = 3747788


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 8462/836, 9566/8966

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 8462/836, 9566/8966?

Answer: GCF of Numerators as per given numbers 8462/836, 9566/8966 is

GCF of Numerators i.e. for 8462,9566 is 2

LCM of denominators i.e. for 836,8966 is 3747788.

Thus, GCF of Fractions is 2/3747788.Finally, GCF of Fractions for 8462/836, 9566/8966 is 2/3747788.