GCD of 456, 228, 55, 460 Calculator

Given Input numbers are 456, 228, 55, 460

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 456, 228, 55, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 228, 55, 460 is 1.

Therefore, GCD of numbers 456, 228, 55, 460 is 1

Given Input Data is 456, 228, 55, 460

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 228 is 2 x 2 x 3 x 19

Prime Factorization of 55 is 5 x 11

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 228) = 456

GCD(456, 228) = ( 456 x 228 ) / 456

GCD(456, 228) = 103968 / 456

GCD(456, 228) = 228

Step2:

Here we consider the GCD from the above i.e. 228 as first number and the next as 55

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

LCM(228, 55) = 12540

GCD(228, 55) = ( 228 x 55 ) / 12540

GCD(228, 55) = 12540 / 12540

GCD(228, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 456, 228, 55, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 474, 11, 983
• GCD of 782, 192, 20, 559
• GCD of 583, 856, 76, 665
• GCD of 600, 899, 51, 991
• GCD of 989, 798, 21, 797

1. What is the GCD of 456, 228, 55, 460?

GCD of 456, 228, 55, 460 is 1

2. Where do I get the detailed procedure to find GCD of 456, 228, 55, 460?

You can find a detailed procedure to find GCD of 456, 228, 55, 460 on our page.

3. How to find GCD of 456, 228, 55, 460 on a calculator?

You can find the GCD of 456, 228, 55, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.