Greatest Common Factor of 7338/593, 3839/7104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7338/593, 3839/7104

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 7338/593,3839/7104

Given fractions are 7338/593,3839/7104

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 7338,3839

Greatest Common Factor of Numerators i.e. GCF of 7338,3839 is 1 .

LCM of Denominators means LCM of 593,7104 as per the given fractions.

LCM of 593,7104 is 4212672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7338,3839

GCF of Fractions 7338/593,3839/7104 is 1/4212672

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

Greatest Common Factor of 7338,3839 By Matching Biggest Common Factor Method

Greatest Common Factor of 7338,3839 By Matching Biggest Common Factor Method

Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1,2,3,6,1223,2446,3669,7338

Factors of 3839

List of positive integer factors of 3839 that divides 3839 without a remainder.

1,11,349,3839

Greatest Common Factor

We found the factors 7338,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 7338,3839 is 1.

Lets's calculate LCM of 593,7104

Given numbers has no common factors except 1. So, there LCM is their product i.e 4212672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4212672

Therefore, the GCF of Fractions 7338/593,3839/7104 is 1/4212672

Least Common Multiple of 593,7104 with GCF Formula

Least Common Multiple of 593,7104 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 593,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,7104) = 1

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

GCF(593,7104) x common factors =1 x 1 = 1

LCM(593,7104) = ( 593 × 7104 ) / 1

LCM(593,7104) = 4212672 / 1

LCM(593,7104) = 4212672


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 7338/593, 3839/7104

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 7338/593, 3839/7104?

Answer: GCF of Numerators as per given numbers 7338/593, 3839/7104 is

GCF of Numerators i.e. for 7338,3839 is 1

LCM of denominators i.e. for 593,7104 is 4212672.

Thus, GCF of Fractions is 1/4212672.Finally, GCF of Fractions for 7338/593, 3839/7104 is 1/4212672.