Greatest Common Factor of 7394/423, 9401/5794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7394/423, 9401/5794

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 7394/423,9401/5794

Given fractions are 7394/423,9401/5794

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 7394,9401

Greatest Common Factor of Numerators i.e. GCF of 7394,9401 is 1 .

LCM of Denominators means LCM of 423,5794 as per the given fractions.

LCM of 423,5794 is 2450862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7394,9401

GCF of Fractions 7394/423,9401/5794 is 1/2450862

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

Greatest Common Factor of 7394,9401 By Matching Biggest Common Factor Method

Greatest Common Factor of 7394,9401 By Matching Biggest Common Factor Method

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1,2,3697,7394

Factors of 9401

List of positive integer factors of 9401 that divides 9401 without a remainder.

1,7,17,79,119,553,1343,9401

Greatest Common Factor

We found the factors 7394,9401 . The biggest common factor number is the GCF number.
So the greatest common factor 7394,9401 is 1.

Lets's calculate LCM of 423,5794

Given numbers has no common factors except 1. So, there LCM is their product i.e 2450862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2450862

Therefore, the GCF of Fractions 7394/423,9401/5794 is 1/2450862

Least Common Multiple of 423,5794 with GCF Formula

Least Common Multiple of 423,5794 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 423,5794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,5794) = 1

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

GCF(423,5794) x common factors =1 x 1 = 1

LCM(423,5794) = ( 423 × 5794 ) / 1

LCM(423,5794) = 2450862 / 1

LCM(423,5794) = 2450862


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 7394/423, 9401/5794

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 7394/423, 9401/5794?

Answer: GCF of Numerators as per given numbers 7394/423, 9401/5794 is

GCF of Numerators i.e. for 7394,9401 is 1

LCM of denominators i.e. for 423,5794 is 2450862.

Thus, GCF of Fractions is 1/2450862.Finally, GCF of Fractions for 7394/423, 9401/5794 is 1/2450862.