Greatest Common Factor of 450/40, 5000/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/40, 5000/405

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 450/40,5000/405

Given fractions are 450/40,5000/405

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 450,5000

Greatest Common Factor of Numerators i.e. GCF of 450,5000 is 50 .

LCM of Denominators means LCM of 40,405 as per the given fractions.

LCM of 40,405 is 3240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,5000

GCF of Fractions 450/40,5000/405 is 50/3240

2 450, 5000
5 225, 2500
5 45, 500
9, 100

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 450,5000 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,5000 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000

Greatest Common Factor

We found the factors 450,5000 . The biggest common factor number is the GCF number.
So the greatest common factor 450,5000 is 50.

Lets's calculate LCM of 40,405

5 40, 405
8, 81

∴ So the LCM of the given numbers is 5 x 8 x 81 = 3240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/3240

Therefore, the GCF of Fractions 450/40,5000/405 is 50/3240

Least Common Multiple of 40,405 with GCF Formula

Least Common Multiple of 40,405 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 40,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,405) = 5

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

GCF(40,405) x common factors =5 x 1 = 5

LCM(40,405) = ( 40 × 405 ) / 5

LCM(40,405) = 16200 / 5

LCM(40,405) = 3240


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 450/40, 5000/405

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 450/40, 5000/405?

Answer: GCF of Numerators as per given numbers 450/40, 5000/405 is

GCF of Numerators i.e. for 450,5000 is 50

LCM of denominators i.e. for 40,405 is 3240.

Thus, GCF of Fractions is 50/3240.Finally, GCF of Fractions for 450/40, 5000/405 is 50/3240.