Greatest Common Factor of 859/89, 238/17, 715/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 859/89, 238/17, 715/471

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 859/89,238/17,715/471

Given fractions are 859/89,238/17,715/471

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 859,238,715

Greatest Common Factor of Numerators i.e. GCF of 859,238,715 is 1 .

LCM of Denominators means LCM of 89,17,471 as per the given fractions.

LCM of 89,17,471 is 712623 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 859,238,715

GCF of Fractions 859/89,238/17,715/471 is 1/712623

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

Greatest Common Factor of 859,238,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,238,715 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 859,238,715 . The biggest common factor number is the GCF number.
So the greatest common factor 859,238,715 is 1.

Lets's calculate LCM of 89,17,471

Given numbers has no common factors except 1. So, there LCM is their product i.e 712623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712623

Therefore, the GCF of Fractions 859/89,238/17,715/471 is 1/712623

Least Common Multiple of 89,17,471 with GCF Formula

Least Common Multiple of 89,17,471 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 89,17,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,17,471) = 1

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

GCF(89,17,471) x common factors =1 x 1 = 1

LCM(89,17,471) = ( 89 × 17 × 471 ) / 1

LCM(89,17,471) = 712623 / 1

LCM(89,17,471) = 712623


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 859/89, 238/17, 715/471

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 859/89, 238/17, 715/471?

Answer: GCF of Numerators as per given numbers 859/89, 238/17, 715/471 is

GCF of Numerators i.e. for 859,238,715 is 1

LCM of denominators i.e. for 89,17,471 is 712623.

Thus, GCF of Fractions is 1/712623.Finally, GCF of Fractions for 859/89, 238/17, 715/471 is 1/712623.