Greatest Common Factor of 239/820, 189/706, 142/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/820, 189/706, 142/462

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 239/820,189/706,142/462

Given fractions are 239/820,189/706,142/462

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 239,189,142

Greatest Common Factor of Numerators i.e. GCF of 239,189,142 is 1 .

LCM of Denominators means LCM of 820,706,462 as per the given fractions.

LCM of 820,706,462 is 66865260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,189,142

GCF of Fractions 239/820,189/706,142/462 is 1/66865260

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

Greatest Common Factor of 239,189,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,189,142 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 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 239,189,142 . The biggest common factor number is the GCF number.
So the greatest common factor 239,189,142 is 1.

Lets's calculate LCM of 820,706,462

2 820, 706, 462
410, 353, 231

∴ So the LCM of the given numbers is 2 x 410 x 353 x 231 = 66865260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66865260

Therefore, the GCF of Fractions 239/820,189/706,142/462 is 1/66865260

Least Common Multiple of 820,706,462 with GCF Formula

Least Common Multiple of 820,706,462 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 820,706,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,706,462) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(820,706,462) x common factors =2 x 2 = 4

LCM(820,706,462) = ( 820 × 706 × 462 ) / 4

LCM(820,706,462) = 267461040 / 4

LCM(820,706,462) = 66865260


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 239/820, 189/706, 142/462

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 239/820, 189/706, 142/462?

Answer: GCF of Numerators as per given numbers 239/820, 189/706, 142/462 is

GCF of Numerators i.e. for 239,189,142 is 1

LCM of denominators i.e. for 820,706,462 is 66865260.

Thus, GCF of Fractions is 1/66865260.Finally, GCF of Fractions for 239/820, 189/706, 142/462 is 1/66865260.