GCD of 23, 288, 400, 643 Calculator

Given Input numbers are 23, 288, 400, 643

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 23, 288, 400, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 288, 400, 643 is 1.

Therefore, GCD of numbers 23, 288, 400, 643 is 1

Given Input Data is 23, 288, 400, 643

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

Prime Factorization of 23 is 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 643 is 643

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(23, 288) = 6624

GCD(23, 288) = ( 23 x 288 ) / 6624

GCD(23, 288) = 6624 / 6624

GCD(23, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 23, 288, 400, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 585, 336, 637
• GCD of 77, 525, 357, 102
• GCD of 71, 457, 335, 868
• GCD of 57, 162, 523, 885
• GCD of 80, 556, 159, 787

1. What is the GCD of 23, 288, 400, 643?

GCD of 23, 288, 400, 643 is 1

2. Where do I get the detailed procedure to find GCD of 23, 288, 400, 643?

You can find a detailed procedure to find GCD of 23, 288, 400, 643 on our page.

3. How to find GCD of 23, 288, 400, 643 on a calculator?

You can find the GCD of 23, 288, 400, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.