GCD of 450, 457, 38 Calculator

Given Input numbers are 450, 457, 38

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

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 450, 457, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 457, 38 is 1.

Therefore, GCD of numbers 450, 457, 38 is 1

Given Input Data is 450, 457, 38

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

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

Prime Factorization of 457 is 457

Prime Factorization of 38 is 2 x 19

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(450, 457) = 205650

GCD(450, 457) = ( 450 x 457 ) / 205650

GCD(450, 457) = 205650 / 205650

GCD(450, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 450, 457, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 222, 36
• GCD of 693, 274, 36
• GCD of 731, 533, 68
• GCD of 276, 944, 17
• GCD of 527, 206, 87

1. What is the GCD of 450, 457, 38?

GCD of 450, 457, 38 is 1

2. Where do I get the detailed procedure to find GCD of 450, 457, 38?

You can find a detailed procedure to find GCD of 450, 457, 38 on our page.

3. How to find GCD of 450, 457, 38 on a calculator?

You can find the GCD of 450, 457, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.