Greatest Common Factor of 5475/393, 7399/5772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5475/393, 7399/5772

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 5475/393,7399/5772

Given fractions are 5475/393,7399/5772

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 5475,7399

Greatest Common Factor of Numerators i.e. GCF of 5475,7399 is 1 .

LCM of Denominators means LCM of 393,5772 as per the given fractions.

LCM of 393,5772 is 756132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5475,7399

GCF of Fractions 5475/393,7399/5772 is 1/756132

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

Greatest Common Factor of 5475,7399 By Matching Biggest Common Factor Method

Greatest Common Factor of 5475,7399 By Matching Biggest Common Factor Method

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Factors of 7399

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

1,7,49,151,1057,7399

Greatest Common Factor

We found the factors 5475,7399 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,7399 is 1.

Lets's calculate LCM of 393,5772

3 393, 5772
131, 1924

∴ So the LCM of the given numbers is 3 x 131 x 1924 = 756132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/756132

Therefore, the GCF of Fractions 5475/393,7399/5772 is 1/756132

Least Common Multiple of 393,5772 with GCF Formula

Least Common Multiple of 393,5772 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 393,5772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,5772) = 3

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

GCF(393,5772) x common factors =3 x 1 = 3

LCM(393,5772) = ( 393 × 5772 ) / 3

LCM(393,5772) = 2268396 / 3

LCM(393,5772) = 756132


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 5475/393, 7399/5772

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 5475/393, 7399/5772?

Answer: GCF of Numerators as per given numbers 5475/393, 7399/5772 is

GCF of Numerators i.e. for 5475,7399 is 1

LCM of denominators i.e. for 393,5772 is 756132.

Thus, GCF of Fractions is 1/756132.Finally, GCF of Fractions for 5475/393, 7399/5772 is 1/756132.