Greatest Common Factor of 189/710, 289/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 189/710, 289/860

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 189/710,289/860

Given fractions are 189/710,289/860

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 189,289

Greatest Common Factor of Numerators i.e. GCF of 189,289 is 1 .

LCM of Denominators means LCM of 710,860 as per the given fractions.

LCM of 710,860 is 61060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 189,289

GCF of Fractions 189/710,289/860 is 1/61060

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

Greatest Common Factor of 189,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,289 By Matching Biggest Common Factor Method

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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 189,289 . The biggest common factor number is the GCF number.
So the greatest common factor 189,289 is 1.

Lets's calculate LCM of 710,860

2 710, 860
5 355, 430
71, 86

∴ So the LCM of the given numbers is 2 x 5 x 71 x 86 = 61060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61060

Therefore, the GCF of Fractions 189/710,289/860 is 1/61060

Least Common Multiple of 710,860 with GCF Formula

Least Common Multiple of 710,860 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 710,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,860) = 10

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

GCF(710,860) x common factors =10 x 1 = 10

LCM(710,860) = ( 710 × 860 ) / 10

LCM(710,860) = 610600 / 10

LCM(710,860) = 61060


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 189/710, 289/860

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 189/710, 289/860?

Answer: GCF of Numerators as per given numbers 189/710, 289/860 is

GCF of Numerators i.e. for 189,289 is 1

LCM of denominators i.e. for 710,860 is 61060.

Thus, GCF of Fractions is 1/61060.Finally, GCF of Fractions for 189/710, 289/860 is 1/61060.