GCD of 20, 8, 72, 58 Calculator

Given Input numbers are 20, 8, 72, 58

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

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 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 20, 8, 72, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 8, 72, 58 is 2.

Therefore, GCD of numbers 20, 8, 72, 58 is 2

Given Input Data is 20, 8, 72, 58

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 8 is 2 x 2 x 2

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

Prime Factorization of 58 is 2 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(20, 8) = 40

GCD(20, 8) = ( 20 x 8 ) / 40

GCD(20, 8) = 160 / 40

GCD(20, 8) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

GCD of 20, 8, 72, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 2, 60, 43
• GCD of 90, 7, 86, 61
• GCD of 26, 8, 60, 99
• GCD of 66, 1, 63, 60
• GCD of 79, 2, 31, 72

1. What is the GCD of 20, 8, 72, 58?

GCD of 20, 8, 72, 58 is 2

2. Where do I get the detailed procedure to find GCD of 20, 8, 72, 58?

You can find a detailed procedure to find GCD of 20, 8, 72, 58 on our page.

3. How to find GCD of 20, 8, 72, 58 on a calculator?

You can find the GCD of 20, 8, 72, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.