Greatest Common Factor of 8605/832, 8872/9842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8605/832, 8872/9842

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 8605/832,8872/9842

Given fractions are 8605/832,8872/9842

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 8605,8872

Greatest Common Factor of Numerators i.e. GCF of 8605,8872 is 1 .

LCM of Denominators means LCM of 832,9842 as per the given fractions.

LCM of 832,9842 is 4094272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8605,8872

GCF of Fractions 8605/832,8872/9842 is 1/4094272

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

Greatest Common Factor of 8605,8872 By Matching Biggest Common Factor Method

Greatest Common Factor of 8605,8872 By Matching Biggest Common Factor Method

Factors of 8605

List of positive integer factors of 8605 that divides 8605 without a remainder.

1,5,1721,8605

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1,2,4,8,1109,2218,4436,8872

Greatest Common Factor

We found the factors 8605,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 8605,8872 is 1.

Lets's calculate LCM of 832,9842

2 832, 9842
416, 4921

∴ So the LCM of the given numbers is 2 x 416 x 4921 = 4094272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4094272

Therefore, the GCF of Fractions 8605/832,8872/9842 is 1/4094272

Least Common Multiple of 832,9842 with GCF Formula

Least Common Multiple of 832,9842 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 832,9842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,9842) = 2

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

GCF(832,9842) x common factors =2 x 1 = 2

LCM(832,9842) = ( 832 × 9842 ) / 2

LCM(832,9842) = 8188544 / 2

LCM(832,9842) = 4094272


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 8605/832, 8872/9842

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 8605/832, 8872/9842?

Answer: GCF of Numerators as per given numbers 8605/832, 8872/9842 is

GCF of Numerators i.e. for 8605,8872 is 1

LCM of denominators i.e. for 832,9842 is 4094272.

Thus, GCF of Fractions is 1/4094272.Finally, GCF of Fractions for 8605/832, 8872/9842 is 1/4094272.