Greatest Common Factor of 239/412, 459/321, 322/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/412, 459/321, 322/759

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 239/412,459/321,322/759

Given fractions are 239/412,459/321,322/759

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 239,459,322

Greatest Common Factor of Numerators i.e. GCF of 239,459,322 is 1 .

LCM of Denominators means LCM of 412,321,759 as per the given fractions.

LCM of 412,321,759 is 33459756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,459,322

GCF of Fractions 239/412,459/321,322/759 is 1/33459756

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

Greatest Common Factor of 239,459,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,459,322 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 239,459,322 . The biggest common factor number is the GCF number.
So the greatest common factor 239,459,322 is 1.

Lets's calculate LCM of 412,321,759

3 412, 321, 759
412, 107, 253

∴ So the LCM of the given numbers is 3 x 412 x 107 x 253 = 33459756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33459756

Therefore, the GCF of Fractions 239/412,459/321,322/759 is 1/33459756

Least Common Multiple of 412,321,759 with GCF Formula

Least Common Multiple of 412,321,759 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 412,321,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,321,759) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(412,321,759) x common factors =1 x 3 = 3

LCM(412,321,759) = ( 412 × 321 × 759 ) / 3

LCM(412,321,759) = 100379268 / 3

LCM(412,321,759) = 33459756


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 239/412, 459/321, 322/759

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 239/412, 459/321, 322/759?

Answer: GCF of Numerators as per given numbers 239/412, 459/321, 322/759 is

GCF of Numerators i.e. for 239,459,322 is 1

LCM of denominators i.e. for 412,321,759 is 33459756.

Thus, GCF of Fractions is 1/33459756.Finally, GCF of Fractions for 239/412, 459/321, 322/759 is 1/33459756.