Greatest Common Factor of 9605/31, 4598/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9605/31, 4598/591

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 9605/31,4598/591

Given fractions are 9605/31,4598/591

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 9605,4598

Greatest Common Factor of Numerators i.e. GCF of 9605,4598 is 1 .

LCM of Denominators means LCM of 31,591 as per the given fractions.

LCM of 31,591 is 18321 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9605,4598

GCF of Fractions 9605/31,4598/591 is 1/18321

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

Greatest Common Factor of 9605,4598 By Matching Biggest Common Factor Method

Greatest Common Factor of 9605,4598 By Matching Biggest Common Factor Method

Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1,5,17,85,113,565,1921,9605

Factors of 4598

List of positive integer factors of 4598 that divides 4598 without a remainder.

1,2,11,19,22,38,121,209,242,418,2299,4598

Greatest Common Factor

We found the factors 9605,4598 . The biggest common factor number is the GCF number.
So the greatest common factor 9605,4598 is 1.

Lets's calculate LCM of 31,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 18321

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18321

Therefore, the GCF of Fractions 9605/31,4598/591 is 1/18321

Least Common Multiple of 31,591 with GCF Formula

Least Common Multiple of 31,591 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 31,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,591) = 1

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

GCF(31,591) x common factors =1 x 1 = 1

LCM(31,591) = ( 31 × 591 ) / 1

LCM(31,591) = 18321 / 1

LCM(31,591) = 18321


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 9605/31, 4598/591

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 9605/31, 4598/591?

Answer: GCF of Numerators as per given numbers 9605/31, 4598/591 is

GCF of Numerators i.e. for 9605,4598 is 1

LCM of denominators i.e. for 31,591 is 18321.

Thus, GCF of Fractions is 1/18321.Finally, GCF of Fractions for 9605/31, 4598/591 is 1/18321.