Greatest Common Factor of 393/418, 601/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 393/418, 601/517

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 393/418,601/517

Given fractions are 393/418,601/517

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 393,601

Greatest Common Factor of Numerators i.e. GCF of 393,601 is 1 .

LCM of Denominators means LCM of 418,517 as per the given fractions.

LCM of 418,517 is 19646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,601

GCF of Fractions 393/418,601/517 is 1/19646

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

Greatest Common Factor of 393,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,601 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 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 393,601 . The biggest common factor number is the GCF number.
So the greatest common factor 393,601 is 1.


Lets's calculate LCM of 418,517

11 418, 517
38, 47

∴ So the LCM of the given numbers is 11 x 38 x 47 = 19646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19646

Therefore, the GCF of Fractions 393/418,601/517 is 1/19646

Least Common Multiple of 418,517 with GCF Formula

Least Common Multiple of 418,517 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 418,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,517) = 11

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

GCF(418,517) x common factors =11 x 1 = 11

LCM(418,517) = ( 418 × 517 ) / 11

LCM(418,517) = 216106 / 11

LCM(418,517) = 19646


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 393/418, 601/517

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 393/418, 601/517?

Answer: GCF of Numerators as per given numbers 393/418, 601/517 is

GCF of Numerators i.e. for 393,601 is 1

LCM of denominators i.e. for 418,517 is 19646.

Thus, GCF of Fractions is 1/19646.Finally, GCF of Fractions for 393/418, 601/517 is 1/19646.