Greatest Common Factor of 338/439, 3301/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/439, 3301/159

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 338/439,3301/159

Given fractions are 338/439,3301/159

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 338,3301

Greatest Common Factor of Numerators i.e. GCF of 338,3301 is 1 .

LCM of Denominators means LCM of 439,159 as per the given fractions.

LCM of 439,159 is 69801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,3301

GCF of Fractions 338/439,3301/159 is 1/69801

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

Greatest Common Factor of 338,3301 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,3301 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 3301

List of positive integer factors of 3301 that divides 3301 without a remainder.

1,3301

Greatest Common Factor

We found the factors 338,3301 . The biggest common factor number is the GCF number.
So the greatest common factor 338,3301 is 1.

Lets's calculate LCM of 439,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 69801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69801

Therefore, the GCF of Fractions 338/439,3301/159 is 1/69801

Least Common Multiple of 439,159 with GCF Formula

Least Common Multiple of 439,159 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 439,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,159) = 1

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

GCF(439,159) x common factors =1 x 1 = 1

LCM(439,159) = ( 439 × 159 ) / 1

LCM(439,159) = 69801 / 1

LCM(439,159) = 69801


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 338/439, 3301/159

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 338/439, 3301/159?

Answer: GCF of Numerators as per given numbers 338/439, 3301/159 is

GCF of Numerators i.e. for 338,3301 is 1

LCM of denominators i.e. for 439,159 is 69801.

Thus, GCF of Fractions is 1/69801.Finally, GCF of Fractions for 338/439, 3301/159 is 1/69801.