Greatest Common Factor of 7396/369, 4809/7703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7396/369, 4809/7703

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 7396/369,4809/7703

Given fractions are 7396/369,4809/7703

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 7396,4809

Greatest Common Factor of Numerators i.e. GCF of 7396,4809 is 1 .

LCM of Denominators means LCM of 369,7703 as per the given fractions.

LCM of 369,7703 is 2842407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7396,4809

GCF of Fractions 7396/369,4809/7703 is 1/2842407

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

Greatest Common Factor of 7396,4809 By Matching Biggest Common Factor Method

Greatest Common Factor of 7396,4809 By Matching Biggest Common Factor Method

Factors of 7396

List of positive integer factors of 7396 that divides 7396 without a remainder.

1,2,4,43,86,172,1849,3698,7396

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1,3,7,21,229,687,1603,4809

Greatest Common Factor

We found the factors 7396,4809 . The biggest common factor number is the GCF number.
So the greatest common factor 7396,4809 is 1.

Lets's calculate LCM of 369,7703

Given numbers has no common factors except 1. So, there LCM is their product i.e 2842407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2842407

Therefore, the GCF of Fractions 7396/369,4809/7703 is 1/2842407

Least Common Multiple of 369,7703 with GCF Formula

Least Common Multiple of 369,7703 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 369,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,7703) = 1

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

GCF(369,7703) x common factors =1 x 1 = 1

LCM(369,7703) = ( 369 × 7703 ) / 1

LCM(369,7703) = 2842407 / 1

LCM(369,7703) = 2842407


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 7396/369, 4809/7703

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 7396/369, 4809/7703?

Answer: GCF of Numerators as per given numbers 7396/369, 4809/7703 is

GCF of Numerators i.e. for 7396,4809 is 1

LCM of denominators i.e. for 369,7703 is 2842407.

Thus, GCF of Fractions is 1/2842407.Finally, GCF of Fractions for 7396/369, 4809/7703 is 1/2842407.