Greatest Common Factor of 705/338, 609/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/338, 609/659

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 705/338,609/659

Given fractions are 705/338,609/659

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 705,609

Greatest Common Factor of Numerators i.e. GCF of 705,609 is 3 .

LCM of Denominators means LCM of 338,659 as per the given fractions.

LCM of 338,659 is 222742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,609

GCF of Fractions 705/338,609/659 is 3/222742

3 705, 609
235, 203

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

Greatest Common Factor of 705,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,609 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 705,609 . The biggest common factor number is the GCF number.
So the greatest common factor 705,609 is 3.

Lets's calculate LCM of 338,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 222742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/222742

Therefore, the GCF of Fractions 705/338,609/659 is 3/222742

Least Common Multiple of 338,659 with GCF Formula

Least Common Multiple of 338,659 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 338,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,659) = 1

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

GCF(338,659) x common factors =1 x 1 = 1

LCM(338,659) = ( 338 × 659 ) / 1

LCM(338,659) = 222742 / 1

LCM(338,659) = 222742


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 705/338, 609/659

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 705/338, 609/659?

Answer: GCF of Numerators as per given numbers 705/338, 609/659 is

GCF of Numerators i.e. for 705,609 is 3

LCM of denominators i.e. for 338,659 is 222742.

Thus, GCF of Fractions is 3/222742.Finally, GCF of Fractions for 705/338, 609/659 is 3/222742.