Greatest Common Factor of 587/87, 128/57, 718/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 587/87, 128/57, 718/915

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 587/87,128/57,718/915

Given fractions are 587/87,128/57,718/915

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 587,128,718

Greatest Common Factor of Numerators i.e. GCF of 587,128,718 is 1 .

LCM of Denominators means LCM of 87,57,915 as per the given fractions.

LCM of 87,57,915 is 504165 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 587,128,718

GCF of Fractions 587/87,128/57,718/915 is 1/504165

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

Greatest Common Factor of 587,128,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,128,718 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 587,128,718 . The biggest common factor number is the GCF number.
So the greatest common factor 587,128,718 is 1.

Lets's calculate LCM of 87,57,915

3 87, 57, 915
29, 19, 305

∴ So the LCM of the given numbers is 3 x 29 x 19 x 305 = 504165

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504165

Therefore, the GCF of Fractions 587/87,128/57,718/915 is 1/504165

Least Common Multiple of 87,57,915 with GCF Formula

Least Common Multiple of 87,57,915 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 87,57,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,57,915) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,57,915) x common factors =3 x 3 = 9

LCM(87,57,915) = ( 87 × 57 × 915 ) / 9

LCM(87,57,915) = 4537485 / 9

LCM(87,57,915) = 504165


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 587/87, 128/57, 718/915

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 587/87, 128/57, 718/915?

Answer: GCF of Numerators as per given numbers 587/87, 128/57, 718/915 is

GCF of Numerators i.e. for 587,128,718 is 1

LCM of denominators i.e. for 87,57,915 is 504165.

Thus, GCF of Fractions is 1/504165.Finally, GCF of Fractions for 587/87, 128/57, 718/915 is 1/504165.