Greatest Common Factor of 7399/431, 7298/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7399/431, 7298/613

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 7399/431,7298/613

Given fractions are 7399/431,7298/613

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 7399,7298

Greatest Common Factor of Numerators i.e. GCF of 7399,7298 is 1 .

LCM of Denominators means LCM of 431,613 as per the given fractions.

LCM of 431,613 is 264203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7399,7298

GCF of Fractions 7399/431,7298/613 is 1/264203

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

Greatest Common Factor of 7399,7298 By Matching Biggest Common Factor Method

Greatest Common Factor of 7399,7298 By Matching Biggest Common Factor Method

Factors of 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1,7,49,151,1057,7399

Factors of 7298

List of positive integer factors of 7298 that divides 7298 without a remainder.

1,2,41,82,89,178,3649,7298

Greatest Common Factor

We found the factors 7399,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,7298 is 1.

Lets's calculate LCM of 431,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 264203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264203

Therefore, the GCF of Fractions 7399/431,7298/613 is 1/264203

Least Common Multiple of 431,613 with GCF Formula

Least Common Multiple of 431,613 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 431,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,613) = 1

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

GCF(431,613) x common factors =1 x 1 = 1

LCM(431,613) = ( 431 × 613 ) / 1

LCM(431,613) = 264203 / 1

LCM(431,613) = 264203


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 7399/431, 7298/613

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 7399/431, 7298/613?

Answer: GCF of Numerators as per given numbers 7399/431, 7298/613 is

GCF of Numerators i.e. for 7399,7298 is 1

LCM of denominators i.e. for 431,613 is 264203.

Thus, GCF of Fractions is 1/264203.Finally, GCF of Fractions for 7399/431, 7298/613 is 1/264203.