GCD of 466, 486, 21, 852 Calculator

Given Input numbers are 466, 486, 21, 852

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

Divisors of 466

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

1, 2, 233, 466

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 466, 486, 21, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 486, 21, 852 is 1.

Therefore, GCD of numbers 466, 486, 21, 852 is 1

Given Input Data is 466, 486, 21, 852

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 21 is 3 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(466, 486) = 113238

GCD(466, 486) = ( 466 x 486 ) / 113238

GCD(466, 486) = 226476 / 113238

GCD(466, 486) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 466, 486, 21, 852 is 1

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1. What is the GCD of 466, 486, 21, 852?

GCD of 466, 486, 21, 852 is 1

2. Where do I get the detailed procedure to find GCD of 466, 486, 21, 852?

You can find a detailed procedure to find GCD of 466, 486, 21, 852 on our page.

3. How to find GCD of 466, 486, 21, 852 on a calculator?

You can find the GCD of 466, 486, 21, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.