GCD of 400, 561, 21, 923 Calculator

Given Input numbers are 400, 561, 21, 923

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

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 21

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

1, 3, 7, 21

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 400, 561, 21, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 561, 21, 923 is 1.

Therefore, GCD of numbers 400, 561, 21, 923 is 1

Given Input Data is 400, 561, 21, 923

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

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 923 is 13 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(400, 561) = 224400

GCD(400, 561) = ( 400 x 561 ) / 224400

GCD(400, 561) = 224400 / 224400

GCD(400, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 400, 561, 21, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 750, 26, 857
• GCD of 958, 892, 80, 109
• GCD of 982, 612, 13, 469
• GCD of 701, 164, 74, 666
• GCD of 327, 421, 68, 952

1. What is the GCD of 400, 561, 21, 923?

GCD of 400, 561, 21, 923 is 1

2. Where do I get the detailed procedure to find GCD of 400, 561, 21, 923?

You can find a detailed procedure to find GCD of 400, 561, 21, 923 on our page.

3. How to find GCD of 400, 561, 21, 923 on a calculator?

You can find the GCD of 400, 561, 21, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.