Greatest Common Factor of 9862/591, 8351/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9862/591, 8351/684

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 9862/591,8351/684

Given fractions are 9862/591,8351/684

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 9862,8351

Greatest Common Factor of Numerators i.e. GCF of 9862,8351 is 1 .

LCM of Denominators means LCM of 591,684 as per the given fractions.

LCM of 591,684 is 134748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9862,8351

GCF of Fractions 9862/591,8351/684 is 1/134748

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

Greatest Common Factor of 9862,8351 By Matching Biggest Common Factor Method

Greatest Common Factor of 9862,8351 By Matching Biggest Common Factor Method

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1,2,4931,9862

Factors of 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1,7,1193,8351

Greatest Common Factor

We found the factors 9862,8351 . The biggest common factor number is the GCF number.
So the greatest common factor 9862,8351 is 1.

Lets's calculate LCM of 591,684

3 591, 684
197, 228

∴ So the LCM of the given numbers is 3 x 197 x 228 = 134748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134748

Therefore, the GCF of Fractions 9862/591,8351/684 is 1/134748

Least Common Multiple of 591,684 with GCF Formula

Least Common Multiple of 591,684 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 591,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,684) = 3

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

GCF(591,684) x common factors =3 x 1 = 3

LCM(591,684) = ( 591 × 684 ) / 3

LCM(591,684) = 404244 / 3

LCM(591,684) = 134748


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 9862/591, 8351/684

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 9862/591, 8351/684?

Answer: GCF of Numerators as per given numbers 9862/591, 8351/684 is

GCF of Numerators i.e. for 9862,8351 is 1

LCM of denominators i.e. for 591,684 is 134748.

Thus, GCF of Fractions is 1/134748.Finally, GCF of Fractions for 9862/591, 8351/684 is 1/134748.