GCD of 228, 400, 51, 501 Calculator

Given Input numbers are 228, 400, 51, 501

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

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 228, 400, 51, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 400, 51, 501 is 1.

Therefore, GCD of numbers 228, 400, 51, 501 is 1

Given Input Data is 228, 400, 51, 501

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 51 is 3 x 17

Prime Factorization of 501 is 3 x 167

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(228, 400) = 22800

GCD(228, 400) = ( 228 x 400 ) / 22800

GCD(228, 400) = 91200 / 22800

GCD(228, 400) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 228, 400, 51, 501 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 170, 84, 779
• GCD of 151, 931, 36, 811
• GCD of 938, 637, 82, 195
• GCD of 103, 400, 48, 681
• GCD of 394, 272, 87, 960

1. What is the GCD of 228, 400, 51, 501?

GCD of 228, 400, 51, 501 is 1

2. Where do I get the detailed procedure to find GCD of 228, 400, 51, 501?

You can find a detailed procedure to find GCD of 228, 400, 51, 501 on our page.

3. How to find GCD of 228, 400, 51, 501 on a calculator?

You can find the GCD of 228, 400, 51, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.