Greatest Common Factor of 9609/741, 5413/4793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9609/741, 5413/4793

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 9609/741,5413/4793

Given fractions are 9609/741,5413/4793

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 9609,5413

Greatest Common Factor of Numerators i.e. GCF of 9609,5413 is 1 .

LCM of Denominators means LCM of 741,4793 as per the given fractions.

LCM of 741,4793 is 3551613 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9609,5413

GCF of Fractions 9609/741,5413/4793 is 1/3551613

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

Greatest Common Factor of 9609,5413 By Matching Biggest Common Factor Method

Greatest Common Factor of 9609,5413 By Matching Biggest Common Factor Method

Factors of 9609

List of positive integer factors of 9609 that divides 9609 without a remainder.

1,3,3203,9609

Factors of 5413

List of positive integer factors of 5413 that divides 5413 without a remainder.

1,5413

Greatest Common Factor

We found the factors 9609,5413 . The biggest common factor number is the GCF number.
So the greatest common factor 9609,5413 is 1.

Lets's calculate LCM of 741,4793

Given numbers has no common factors except 1. So, there LCM is their product i.e 3551613

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3551613

Therefore, the GCF of Fractions 9609/741,5413/4793 is 1/3551613

Least Common Multiple of 741,4793 with GCF Formula

Least Common Multiple of 741,4793 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 741,4793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,4793) = 1

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

GCF(741,4793) x common factors =1 x 1 = 1

LCM(741,4793) = ( 741 × 4793 ) / 1

LCM(741,4793) = 3551613 / 1

LCM(741,4793) = 3551613


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 9609/741, 5413/4793

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 9609/741, 5413/4793?

Answer: GCF of Numerators as per given numbers 9609/741, 5413/4793 is

GCF of Numerators i.e. for 9609,5413 is 1

LCM of denominators i.e. for 741,4793 is 3551613.

Thus, GCF of Fractions is 1/3551613.Finally, GCF of Fractions for 9609/741, 5413/4793 is 1/3551613.