Greatest Common Factor of 189/39, 521/61, 403/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 189/39, 521/61, 403/689

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 189/39,521/61,403/689

Given fractions are 189/39,521/61,403/689

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 189,521,403

Greatest Common Factor of Numerators i.e. GCF of 189,521,403 is 1 .

LCM of Denominators means LCM of 39,61,689 as per the given fractions.

LCM of 39,61,689 is 126087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 189,521,403

GCF of Fractions 189/39,521/61,403/689 is 1/126087

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

Greatest Common Factor of 189,521,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,521,403 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 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 189,521,403 . The biggest common factor number is the GCF number.
So the greatest common factor 189,521,403 is 1.

Lets's calculate LCM of 39,61,689

13 39, 61, 689
3, 61, 53

∴ So the LCM of the given numbers is 13 x 3 x 61 x 53 = 126087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126087

Therefore, the GCF of Fractions 189/39,521/61,403/689 is 1/126087

Least Common Multiple of 39,61,689 with GCF Formula

Least Common Multiple of 39,61,689 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 39,61,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,61,689) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(39,61,689) x common factors =1 x 13 = 13

LCM(39,61,689) = ( 39 × 61 × 689 ) / 13

LCM(39,61,689) = 1639131 / 13

LCM(39,61,689) = 126087


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 189/39, 521/61, 403/689

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 189/39, 521/61, 403/689?

Answer: GCF of Numerators as per given numbers 189/39, 521/61, 403/689 is

GCF of Numerators i.e. for 189,521,403 is 1

LCM of denominators i.e. for 39,61,689 is 126087.

Thus, GCF of Fractions is 1/126087.Finally, GCF of Fractions for 189/39, 521/61, 403/689 is 1/126087.