GCD of 456, 627, 20, 282 Calculator

Given Input numbers are 456, 627, 20, 282

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 456, 627, 20, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 627, 20, 282 is 1.

Therefore, GCD of numbers 456, 627, 20, 282 is 1

Given Input Data is 456, 627, 20, 282

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 282 is 2 x 3 x 47

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(456, 627) = 5016

GCD(456, 627) = ( 456 x 627 ) / 5016

GCD(456, 627) = 285912 / 5016

GCD(456, 627) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 20

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

LCM(57, 20) = 1140

GCD(57, 20) = ( 57 x 20 ) / 1140

GCD(57, 20) = 1140 / 1140

GCD(57, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 456, 627, 20, 282 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 101, 12, 846
• GCD of 978, 116, 46, 122
• GCD of 117, 288, 80, 545
• GCD of 343, 191, 84, 813
• GCD of 501, 788, 58, 970

1. What is the GCD of 456, 627, 20, 282?

GCD of 456, 627, 20, 282 is 1

2. Where do I get the detailed procedure to find GCD of 456, 627, 20, 282?

You can find a detailed procedure to find GCD of 456, 627, 20, 282 on our page.

3. How to find GCD of 456, 627, 20, 282 on a calculator?

You can find the GCD of 456, 627, 20, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.