Greatest Common Factor of 8596/31, 9441/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8596/31, 9441/205

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 8596/31,9441/205

Given fractions are 8596/31,9441/205

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 8596,9441

Greatest Common Factor of Numerators i.e. GCF of 8596,9441 is 1 .

LCM of Denominators means LCM of 31,205 as per the given fractions.

LCM of 31,205 is 6355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8596,9441

GCF of Fractions 8596/31,9441/205 is 1/6355

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

Greatest Common Factor of 8596,9441 By Matching Biggest Common Factor Method

Greatest Common Factor of 8596,9441 By Matching Biggest Common Factor Method

Factors of 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1,2,4,7,14,28,307,614,1228,2149,4298,8596

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1,3,9,1049,3147,9441

Greatest Common Factor

We found the factors 8596,9441 . The biggest common factor number is the GCF number.
So the greatest common factor 8596,9441 is 1.

Lets's calculate LCM of 31,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 6355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6355

Therefore, the GCF of Fractions 8596/31,9441/205 is 1/6355

Least Common Multiple of 31,205 with GCF Formula

Least Common Multiple of 31,205 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 31,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,205) = 1

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

GCF(31,205) x common factors =1 x 1 = 1

LCM(31,205) = ( 31 × 205 ) / 1

LCM(31,205) = 6355 / 1

LCM(31,205) = 6355


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 8596/31, 9441/205

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 8596/31, 9441/205?

Answer: GCF of Numerators as per given numbers 8596/31, 9441/205 is

GCF of Numerators i.e. for 8596,9441 is 1

LCM of denominators i.e. for 31,205 is 6355.

Thus, GCF of Fractions is 1/6355.Finally, GCF of Fractions for 8596/31, 9441/205 is 1/6355.