Greatest Common Factor of 466/20, 1723/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 466/20, 1723/413

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 466/20,1723/413

Given fractions are 466/20,1723/413

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 466,1723

Greatest Common Factor of Numerators i.e. GCF of 466,1723 is 1 .

LCM of Denominators means LCM of 20,413 as per the given fractions.

LCM of 20,413 is 8260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 466,1723

GCF of Fractions 466/20,1723/413 is 1/8260

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

Greatest Common Factor of 466,1723 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,1723 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 1723

List of positive integer factors of 1723 that divides 1723 without a remainder.

1,1723

Greatest Common Factor

We found the factors 466,1723 . The biggest common factor number is the GCF number.
So the greatest common factor 466,1723 is 1.

Lets's calculate LCM of 20,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 8260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8260

Therefore, the GCF of Fractions 466/20,1723/413 is 1/8260

Least Common Multiple of 20,413 with GCF Formula

Least Common Multiple of 20,413 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 20,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,413) = 1

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

GCF(20,413) x common factors =1 x 1 = 1

LCM(20,413) = ( 20 × 413 ) / 1

LCM(20,413) = 8260 / 1

LCM(20,413) = 8260


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 466/20, 1723/413

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 466/20, 1723/413?

Answer: GCF of Numerators as per given numbers 466/20, 1723/413 is

GCF of Numerators i.e. for 466,1723 is 1

LCM of denominators i.e. for 20,413 is 8260.

Thus, GCF of Fractions is 1/8260.Finally, GCF of Fractions for 466/20, 1723/413 is 1/8260.