Greatest Common Factor of 586/39, 469/50, 666/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 586/39, 469/50, 666/75

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 586/39,469/50,666/75

Given fractions are 586/39,469/50,666/75

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 586,469,666

Greatest Common Factor of Numerators i.e. GCF of 586,469,666 is 1 .

LCM of Denominators means LCM of 39,50,75 as per the given fractions.

LCM of 39,50,75 is 1950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 586,469,666

GCF of Fractions 586/39,469/50,666/75 is 1/1950

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

Greatest Common Factor of 586,469,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,469,666 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 586,469,666 . The biggest common factor number is the GCF number.
So the greatest common factor 586,469,666 is 1.

Lets's calculate LCM of 39,50,75

3 39, 50, 75
5 13, 50, 25
5 13, 10, 5
13, 2, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 2 x 1 = 1950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1950

Therefore, the GCF of Fractions 586/39,469/50,666/75 is 1/1950

Least Common Multiple of 39,50,75 with GCF Formula

Least Common Multiple of 39,50,75 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 39,50,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,50,75) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(39,50,75) x common factors =1 x 75 = 75

LCM(39,50,75) = ( 39 × 50 × 75 ) / 75

LCM(39,50,75) = 146250 / 75

LCM(39,50,75) = 1950


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 586/39, 469/50, 666/75

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 586/39, 469/50, 666/75?

Answer: GCF of Numerators as per given numbers 586/39, 469/50, 666/75 is

GCF of Numerators i.e. for 586,469,666 is 1

LCM of denominators i.e. for 39,50,75 is 1950.

Thus, GCF of Fractions is 1/1950.Finally, GCF of Fractions for 586/39, 469/50, 666/75 is 1/1950.