Greatest Common Factor of 351/22, 243/6569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/22, 243/6569

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 351/22,243/6569

Given fractions are 351/22,243/6569

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 351,243

Greatest Common Factor of Numerators i.e. GCF of 351,243 is 27 .

LCM of Denominators means LCM of 22,6569 as per the given fractions.

LCM of 22,6569 is 144518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,243

GCF of Fractions 351/22,243/6569 is 27/144518

3 351, 243
3 117, 81
3 39, 27
13, 9

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 351,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,243 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 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 351,243 . The biggest common factor number is the GCF number.
So the greatest common factor 351,243 is 27.

Lets's calculate LCM of 22,6569

Given numbers has no common factors except 1. So, there LCM is their product i.e 144518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/144518

Therefore, the GCF of Fractions 351/22,243/6569 is 27/144518

Least Common Multiple of 22,6569 with GCF Formula

Least Common Multiple of 22,6569 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 22,6569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,6569) = 1

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

GCF(22,6569) x common factors =1 x 1 = 1

LCM(22,6569) = ( 22 × 6569 ) / 1

LCM(22,6569) = 144518 / 1

LCM(22,6569) = 144518


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 351/22, 243/6569

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 351/22, 243/6569?

Answer: GCF of Numerators as per given numbers 351/22, 243/6569 is

GCF of Numerators i.e. for 351,243 is 27

LCM of denominators i.e. for 22,6569 is 144518.

Thus, GCF of Fractions is 27/144518.Finally, GCF of Fractions for 351/22, 243/6569 is 27/144518.