Greatest Common Factor of 15/585, 845/572, 271/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/585, 845/572, 271/180

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 15/585,845/572,271/180

Given fractions are 15/585,845/572,271/180

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 15,845,271

Greatest Common Factor of Numerators i.e. GCF of 15,845,271 is 1 .

LCM of Denominators means LCM of 585,572,180 as per the given fractions.

LCM of 585,572,180 is 25740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,845,271

GCF of Fractions 15/585,845/572,271/180 is 1/25740

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

Greatest Common Factor of 15,845,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,845,271 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 15,845,271 . The biggest common factor number is the GCF number.
So the greatest common factor 15,845,271 is 1.

Lets's calculate LCM of 585,572,180

2 585, 572, 180
2 585, 286, 90
3 585, 143, 45
3 195, 143, 15
5 65, 143, 5
13 13, 143, 1
1, 11, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 13 x 1 x 11 x 1 = 25740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25740

Therefore, the GCF of Fractions 15/585,845/572,271/180 is 1/25740

Least Common Multiple of 585,572,180 with GCF Formula

Least Common Multiple of 585,572,180 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 585,572,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,572,180) = 1

common factors(in case of two or more numbers have common factors) = 2340

GCF(585,572,180) x common factors =1 x 2340 = 2340

LCM(585,572,180) = ( 585 × 572 × 180 ) / 2340

LCM(585,572,180) = 60231600 / 2340

LCM(585,572,180) = 25740


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 15/585, 845/572, 271/180

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 15/585, 845/572, 271/180?

Answer: GCF of Numerators as per given numbers 15/585, 845/572, 271/180 is

GCF of Numerators i.e. for 15,845,271 is 1

LCM of denominators i.e. for 585,572,180 is 25740.

Thus, GCF of Fractions is 1/25740.Finally, GCF of Fractions for 15/585, 845/572, 271/180 is 1/25740.