Greatest Common Factor of 405/47, 464/83, 823/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/47, 464/83, 823/46

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 405/47,464/83,823/46

Given fractions are 405/47,464/83,823/46

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 405,464,823

Greatest Common Factor of Numerators i.e. GCF of 405,464,823 is 1 .

LCM of Denominators means LCM of 47,83,46 as per the given fractions.

LCM of 47,83,46 is 179446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,464,823

GCF of Fractions 405/47,464/83,823/46 is 1/179446

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

Greatest Common Factor of 405,464,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,464,823 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 405,464,823 . The biggest common factor number is the GCF number.
So the greatest common factor 405,464,823 is 1.

Lets's calculate LCM of 47,83,46

Given numbers has no common factors except 1. So, there LCM is their product i.e 179446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179446

Therefore, the GCF of Fractions 405/47,464/83,823/46 is 1/179446

Least Common Multiple of 47,83,46 with GCF Formula

Least Common Multiple of 47,83,46 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 47,83,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,83,46) = 1

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

GCF(47,83,46) x common factors =1 x 1 = 1

LCM(47,83,46) = ( 47 × 83 × 46 ) / 1

LCM(47,83,46) = 179446 / 1

LCM(47,83,46) = 179446


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 405/47, 464/83, 823/46

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 405/47, 464/83, 823/46?

Answer: GCF of Numerators as per given numbers 405/47, 464/83, 823/46 is

GCF of Numerators i.e. for 405,464,823 is 1

LCM of denominators i.e. for 47,83,46 is 179446.

Thus, GCF of Fractions is 1/179446.Finally, GCF of Fractions for 405/47, 464/83, 823/46 is 1/179446.