Greatest Common Factor of 2494/741, 7357/9623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2494/741, 7357/9623

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 2494/741,7357/9623

Given fractions are 2494/741,7357/9623

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 2494,7357

Greatest Common Factor of Numerators i.e. GCF of 2494,7357 is 1 .

LCM of Denominators means LCM of 741,9623 as per the given fractions.

LCM of 741,9623 is 7130643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2494,7357

GCF of Fractions 2494/741,7357/9623 is 1/7130643

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

Greatest Common Factor of 2494,7357 By Matching Biggest Common Factor Method

Greatest Common Factor of 2494,7357 By Matching Biggest Common Factor Method

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1,2,29,43,58,86,1247,2494

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1,7,1051,7357

Greatest Common Factor

We found the factors 2494,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 2494,7357 is 1.

Lets's calculate LCM of 741,9623

Given numbers has no common factors except 1. So, there LCM is their product i.e 7130643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7130643

Therefore, the GCF of Fractions 2494/741,7357/9623 is 1/7130643

Least Common Multiple of 741,9623 with GCF Formula

Least Common Multiple of 741,9623 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 741,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,9623) = 1

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

GCF(741,9623) x common factors =1 x 1 = 1

LCM(741,9623) = ( 741 × 9623 ) / 1

LCM(741,9623) = 7130643 / 1

LCM(741,9623) = 7130643


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 2494/741, 7357/9623

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 2494/741, 7357/9623?

Answer: GCF of Numerators as per given numbers 2494/741, 7357/9623 is

GCF of Numerators i.e. for 2494,7357 is 1

LCM of denominators i.e. for 741,9623 is 7130643.

Thus, GCF of Fractions is 1/7130643.Finally, GCF of Fractions for 2494/741, 7357/9623 is 1/7130643.