Greatest Common Factor of 393/68, 6591/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/68, 6591/443

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 393/68,6591/443

Given fractions are 393/68,6591/443

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 393,6591

Greatest Common Factor of Numerators i.e. GCF of 393,6591 is 3 .

LCM of Denominators means LCM of 68,443 as per the given fractions.

LCM of 68,443 is 30124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,6591

GCF of Fractions 393/68,6591/443 is 3/30124

3 393, 6591
131, 2197

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 393,6591 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,6591 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 6591

List of positive integer factors of 6591 that divides 6591 without a remainder.

1,3,13,39,169,507,2197,6591

Greatest Common Factor

We found the factors 393,6591 . The biggest common factor number is the GCF number.
So the greatest common factor 393,6591 is 3.

Lets's calculate LCM of 68,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 30124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30124

Therefore, the GCF of Fractions 393/68,6591/443 is 3/30124

Least Common Multiple of 68,443 with GCF Formula

Least Common Multiple of 68,443 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 68,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,443) = 1

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

GCF(68,443) x common factors =1 x 1 = 1

LCM(68,443) = ( 68 × 443 ) / 1

LCM(68,443) = 30124 / 1

LCM(68,443) = 30124


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 393/68, 6591/443

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 393/68, 6591/443?

Answer: GCF of Numerators as per given numbers 393/68, 6591/443 is

GCF of Numerators i.e. for 393,6591 is 3

LCM of denominators i.e. for 68,443 is 30124.

Thus, GCF of Fractions is 3/30124.Finally, GCF of Fractions for 393/68, 6591/443 is 3/30124.