Greatest Common Factor of 338/21, 441/83, 234/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/21, 441/83, 234/715

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 338/21,441/83,234/715

Given fractions are 338/21,441/83,234/715

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 338,441,234

Greatest Common Factor of Numerators i.e. GCF of 338,441,234 is 1 .

LCM of Denominators means LCM of 21,83,715 as per the given fractions.

LCM of 21,83,715 is 1246245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,441,234

GCF of Fractions 338/21,441/83,234/715 is 1/1246245

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

Greatest Common Factor of 338,441,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,441,234 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 338,441,234 . The biggest common factor number is the GCF number.
So the greatest common factor 338,441,234 is 1.

Lets's calculate LCM of 21,83,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 1246245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1246245

Therefore, the GCF of Fractions 338/21,441/83,234/715 is 1/1246245

Least Common Multiple of 21,83,715 with GCF Formula

Least Common Multiple of 21,83,715 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 21,83,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,83,715) = 1

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

GCF(21,83,715) x common factors =1 x 1 = 1

LCM(21,83,715) = ( 21 × 83 × 715 ) / 1

LCM(21,83,715) = 1246245 / 1

LCM(21,83,715) = 1246245


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 338/21, 441/83, 234/715

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 338/21, 441/83, 234/715?

Answer: GCF of Numerators as per given numbers 338/21, 441/83, 234/715 is

GCF of Numerators i.e. for 338,441,234 is 1

LCM of denominators i.e. for 21,83,715 is 1246245.

Thus, GCF of Fractions is 1/1246245.Finally, GCF of Fractions for 338/21, 441/83, 234/715 is 1/1246245.