Greatest Common Factor of 351/393, 9197/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/393, 9197/521

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 351/393,9197/521

Given fractions are 351/393,9197/521

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 351,9197

Greatest Common Factor of Numerators i.e. GCF of 351,9197 is 1 .

LCM of Denominators means LCM of 393,521 as per the given fractions.

LCM of 393,521 is 204753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,9197

GCF of Fractions 351/393,9197/521 is 1/204753

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

Greatest Common Factor of 351,9197 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,9197 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 9197

List of positive integer factors of 9197 that divides 9197 without a remainder.

1,17,541,9197

Greatest Common Factor

We found the factors 351,9197 . The biggest common factor number is the GCF number.
So the greatest common factor 351,9197 is 1.

Lets's calculate LCM of 393,521

Given numbers has no common factors except 1. So, there LCM is their product i.e 204753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204753

Therefore, the GCF of Fractions 351/393,9197/521 is 1/204753

Least Common Multiple of 393,521 with GCF Formula

Least Common Multiple of 393,521 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 393,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,521) = 1

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

GCF(393,521) x common factors =1 x 1 = 1

LCM(393,521) = ( 393 × 521 ) / 1

LCM(393,521) = 204753 / 1

LCM(393,521) = 204753


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 351/393, 9197/521

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 351/393, 9197/521?

Answer: GCF of Numerators as per given numbers 351/393, 9197/521 is

GCF of Numerators i.e. for 351,9197 is 1

LCM of denominators i.e. for 393,521 is 204753.

Thus, GCF of Fractions is 1/204753.Finally, GCF of Fractions for 351/393, 9197/521 is 1/204753.