Greatest Common Factor of 405/39, 993/53, 460/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/39, 993/53, 460/563

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 405/39,993/53,460/563

Given fractions are 405/39,993/53,460/563

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 405,993,460

Greatest Common Factor of Numerators i.e. GCF of 405,993,460 is 1 .

LCM of Denominators means LCM of 39,53,563 as per the given fractions.

LCM of 39,53,563 is 1163721 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,993,460

GCF of Fractions 405/39,993/53,460/563 is 1/1163721

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

Greatest Common Factor of 405,993,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,993,460 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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 405,993,460 . The biggest common factor number is the GCF number.
So the greatest common factor 405,993,460 is 1.

Lets's calculate LCM of 39,53,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 1163721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1163721

Therefore, the GCF of Fractions 405/39,993/53,460/563 is 1/1163721

Least Common Multiple of 39,53,563 with GCF Formula

Least Common Multiple of 39,53,563 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 39,53,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,53,563) = 1

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

GCF(39,53,563) x common factors =1 x 1 = 1

LCM(39,53,563) = ( 39 × 53 × 563 ) / 1

LCM(39,53,563) = 1163721 / 1

LCM(39,53,563) = 1163721


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 405/39, 993/53, 460/563

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 405/39, 993/53, 460/563?

Answer: GCF of Numerators as per given numbers 405/39, 993/53, 460/563 is

GCF of Numerators i.e. for 405,993,460 is 1

LCM of denominators i.e. for 39,53,563 is 1163721.

Thus, GCF of Fractions is 1/1163721.Finally, GCF of Fractions for 405/39, 993/53, 460/563 is 1/1163721.