GCD of 40, 72, 59, 23 Calculator

Given Input numbers are 40, 72, 59, 23

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 23

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

1, 23

Greatest Common Divisior

We found the divisors of 40, 72, 59, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 72, 59, 23 is 1.

Therefore, GCD of numbers 40, 72, 59, 23 is 1

Given Input Data is 40, 72, 59, 23

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 59 is 59

Prime Factorization of 23 is 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(40, 72) = 360

GCD(40, 72) = ( 40 x 72 ) / 360

GCD(40, 72) = 2880 / 360

GCD(40, 72) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 59

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

LCM(8, 59) = 472

GCD(8, 59) = ( 8 x 59 ) / 472

GCD(8, 59) = 472 / 472

GCD(8, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

GCD of 40, 72, 59, 23 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 85, 16, 72
• GCD of 35, 79, 60, 69
• GCD of 47, 57, 88, 80
• GCD of 65, 25, 42, 89
• GCD of 88, 40, 81, 48

1. What is the GCD of 40, 72, 59, 23?

GCD of 40, 72, 59, 23 is 1

2. Where do I get the detailed procedure to find GCD of 40, 72, 59, 23?

You can find a detailed procedure to find GCD of 40, 72, 59, 23 on our page.

3. How to find GCD of 40, 72, 59, 23 on a calculator?

You can find the GCD of 40, 72, 59, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.