GCD of 462, 466, 36, 453 Calculator

Given Input numbers are 462, 466, 36, 453

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 462, 466, 36, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 466, 36, 453 is 1.

Therefore, GCD of numbers 462, 466, 36, 453 is 1

Given Input Data is 462, 466, 36, 453

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 466 is 2 x 233

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 453 is 3 x 151

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(462, 466) = 107646

GCD(462, 466) = ( 462 x 466 ) / 107646

GCD(462, 466) = 215292 / 107646

GCD(462, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

GCD of 462, 466, 36, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 872, 62, 329
• GCD of 983, 344, 68, 239
• GCD of 503, 778, 52, 465
• GCD of 440, 250, 86, 876
• GCD of 487, 988, 96, 403

1. What is the GCD of 462, 466, 36, 453?

GCD of 462, 466, 36, 453 is 1

2. Where do I get the detailed procedure to find GCD of 462, 466, 36, 453?

You can find a detailed procedure to find GCD of 462, 466, 36, 453 on our page.

3. How to find GCD of 462, 466, 36, 453 on a calculator?

You can find the GCD of 462, 466, 36, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.