GCD of 225, 450, 16, 601 Calculator

Given Input numbers are 225, 450, 16, 601

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 225, 450, 16, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 450, 16, 601 is 1.

Therefore, GCD of numbers 225, 450, 16, 601 is 1

Given Input Data is 225, 450, 16, 601

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 601 is 601

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(225, 450) = 450

GCD(225, 450) = ( 225 x 450 ) / 450

GCD(225, 450) = 101250 / 450

GCD(225, 450) = 225

Step2:

Here we consider the GCD from the above i.e. 225 as first number and the next as 16

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

LCM(225, 16) = 3600

GCD(225, 16) = ( 225 x 16 ) / 3600

GCD(225, 16) = 3600 / 3600

GCD(225, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 225, 450, 16, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 167, 75, 583
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• GCD of 523, 502, 84, 470
• GCD of 266, 615, 66, 262
• GCD of 536, 584, 54, 152

1. What is the GCD of 225, 450, 16, 601?

GCD of 225, 450, 16, 601 is 1

2. Where do I get the detailed procedure to find GCD of 225, 450, 16, 601?

You can find a detailed procedure to find GCD of 225, 450, 16, 601 on our page.

3. How to find GCD of 225, 450, 16, 601 on a calculator?

You can find the GCD of 225, 450, 16, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.