Greatest Common Factor of 470/43, 659/17, 394/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/43, 659/17, 394/91

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 470/43,659/17,394/91

Given fractions are 470/43,659/17,394/91

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 470,659,394

Greatest Common Factor of Numerators i.e. GCF of 470,659,394 is 1 .

LCM of Denominators means LCM of 43,17,91 as per the given fractions.

LCM of 43,17,91 is 66521 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,659,394

GCF of Fractions 470/43,659/17,394/91 is 1/66521

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

Greatest Common Factor of 470,659,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,659,394 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 470,659,394 . The biggest common factor number is the GCF number.
So the greatest common factor 470,659,394 is 1.

Lets's calculate LCM of 43,17,91

Given numbers has no common factors except 1. So, there LCM is their product i.e 66521

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66521

Therefore, the GCF of Fractions 470/43,659/17,394/91 is 1/66521

Least Common Multiple of 43,17,91 with GCF Formula

Least Common Multiple of 43,17,91 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 43,17,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,17,91) = 1

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

GCF(43,17,91) x common factors =1 x 1 = 1

LCM(43,17,91) = ( 43 × 17 × 91 ) / 1

LCM(43,17,91) = 66521 / 1

LCM(43,17,91) = 66521


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 470/43, 659/17, 394/91

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 470/43, 659/17, 394/91?

Answer: GCF of Numerators as per given numbers 470/43, 659/17, 394/91 is

GCF of Numerators i.e. for 470,659,394 is 1

LCM of denominators i.e. for 43,17,91 is 66521.

Thus, GCF of Fractions is 1/66521.Finally, GCF of Fractions for 470/43, 659/17, 394/91 is 1/66521.