Greatest Common Factor of 405/12, 160/31, 402/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/12, 160/31, 402/50

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 405/12,160/31,402/50

Given fractions are 405/12,160/31,402/50

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 405,160,402

Greatest Common Factor of Numerators i.e. GCF of 405,160,402 is 1 .

LCM of Denominators means LCM of 12,31,50 as per the given fractions.

LCM of 12,31,50 is 9300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,160,402

GCF of Fractions 405/12,160/31,402/50 is 1/9300

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

Greatest Common Factor of 405,160,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,160,402 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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 405,160,402 . The biggest common factor number is the GCF number.
So the greatest common factor 405,160,402 is 1.

Lets's calculate LCM of 12,31,50

2 12, 31, 50
6, 31, 25

∴ So the LCM of the given numbers is 2 x 6 x 31 x 25 = 9300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9300

Therefore, the GCF of Fractions 405/12,160/31,402/50 is 1/9300

Least Common Multiple of 12,31,50 with GCF Formula

Least Common Multiple of 12,31,50 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 12,31,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,31,50) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,31,50) x common factors =1 x 2 = 2

LCM(12,31,50) = ( 12 × 31 × 50 ) / 2

LCM(12,31,50) = 18600 / 2

LCM(12,31,50) = 9300


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 405/12, 160/31, 402/50

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 405/12, 160/31, 402/50?

Answer: GCF of Numerators as per given numbers 405/12, 160/31, 402/50 is

GCF of Numerators i.e. for 405,160,402 is 1

LCM of denominators i.e. for 12,31,50 is 9300.

Thus, GCF of Fractions is 1/9300.Finally, GCF of Fractions for 405/12, 160/31, 402/50 is 1/9300.