GCD of 72, 20, 54, 29 Calculator

Given Input numbers are 72, 20, 54, 29

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Greatest Common Divisior

We found the divisors of 72, 20, 54, 29 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 20, 54, 29 is 1.

Therefore, GCD of numbers 72, 20, 54, 29 is 1

Given Input Data is 72, 20, 54, 29

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 20 is 2 x 2 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 29 is 29

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, 20) = 360

GCD(72, 20) = ( 72 x 20 ) / 360

GCD(72, 20) = 1440 / 360

GCD(72, 20) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

GCD of 72, 20, 54, 29 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 19, 13, 87
• GCD of 17, 56, 10, 77
• GCD of 88, 88, 65, 57
• GCD of 86, 31, 47, 12
• GCD of 95, 72, 26, 99

1. What is the GCD of 72, 20, 54, 29?

GCD of 72, 20, 54, 29 is 1

2. Where do I get the detailed procedure to find GCD of 72, 20, 54, 29?

You can find a detailed procedure to find GCD of 72, 20, 54, 29 on our page.

3. How to find GCD of 72, 20, 54, 29 on a calculator?

You can find the GCD of 72, 20, 54, 29 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.