Greatest Common Factor of 393/102, 408/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/102, 408/357

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 393/102,408/357

Given fractions are 393/102,408/357

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 393,408

Greatest Common Factor of Numerators i.e. GCF of 393,408 is 3 .

LCM of Denominators means LCM of 102,357 as per the given fractions.

LCM of 102,357 is 714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,408

GCF of Fractions 393/102,408/357 is 3/714

3 393, 408
131, 136

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

Greatest Common Factor of 393,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,408 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 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 393,408 . The biggest common factor number is the GCF number.
So the greatest common factor 393,408 is 3.

Lets's calculate LCM of 102,357

3 102, 357
17 34, 119
2, 7

∴ So the LCM of the given numbers is 3 x 17 x 2 x 7 = 714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/714

Therefore, the GCF of Fractions 393/102,408/357 is 3/714

Least Common Multiple of 102,357 with GCF Formula

Least Common Multiple of 102,357 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 102,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,357) = 51

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

GCF(102,357) x common factors =51 x 1 = 51

LCM(102,357) = ( 102 × 357 ) / 51

LCM(102,357) = 36414 / 51

LCM(102,357) = 714


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 393/102, 408/357

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 393/102, 408/357?

Answer: GCF of Numerators as per given numbers 393/102, 408/357 is

GCF of Numerators i.e. for 393,408 is 3

LCM of denominators i.e. for 102,357 is 714.

Thus, GCF of Fractions is 3/714.Finally, GCF of Fractions for 393/102, 408/357 is 3/714.