GCD of 899, 599, 146, 450 Calculator

Given Input numbers are 899, 599, 146, 450

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 450

List of positive integer divisors 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

Greatest Common Divisior

We found the divisors of 899, 599, 146, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 599, 146, 450 is 1.

Therefore, GCD of numbers 899, 599, 146, 450 is 1

Given Input Data is 899, 599, 146, 450

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 899 is 29 x 31

Prime Factorization of 599 is 599

Prime Factorization of 146 is 2 x 73

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(899, 599) = 538501

GCD(899, 599) = ( 899 x 599 ) / 538501

GCD(899, 599) = 538501 / 538501

GCD(899, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 899, 599, 146, 450 is 1

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1. What is the GCD of 899, 599, 146, 450?

GCD of 899, 599, 146, 450 is 1

2. Where do I get the detailed procedure to find GCD of 899, 599, 146, 450?

You can find a detailed procedure to find GCD of 899, 599, 146, 450 on our page.

3. How to find GCD of 899, 599, 146, 450 on a calculator?

You can find the GCD of 899, 599, 146, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.