GCD of 72, 61, 23, 65 Calculator

Given Input numbers are 72, 61, 23, 65

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

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 23

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

1, 23

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 72, 61, 23, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 61, 23, 65 is 1.

Therefore, GCD of numbers 72, 61, 23, 65 is 1

Given Input Data is 72, 61, 23, 65

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

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

Prime Factorization of 61 is 61

Prime Factorization of 23 is 23

Prime Factorization of 65 is 5 x 13

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(72, 61) = 4392

GCD(72, 61) = ( 72 x 61 ) / 4392

GCD(72, 61) = 4392 / 4392

GCD(72, 61) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 72, 61, 23, 65 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 13, 19, 34
• GCD of 50, 55, 69, 13
• GCD of 30, 88, 78, 70
• GCD of 93, 69, 85, 50
• GCD of 65, 28, 85, 28

1. What is the GCD of 72, 61, 23, 65?

GCD of 72, 61, 23, 65 is 1

2. Where do I get the detailed procedure to find GCD of 72, 61, 23, 65?

You can find a detailed procedure to find GCD of 72, 61, 23, 65 on our page.

3. How to find GCD of 72, 61, 23, 65 on a calculator?

You can find the GCD of 72, 61, 23, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.