GCD of 36, 96, 39, 58 Calculator

Given Input numbers are 36, 96, 39, 58

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 36, 96, 39, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 96, 39, 58 is 1.

Therefore, GCD of numbers 36, 96, 39, 58 is 1

Given Input Data is 36, 96, 39, 58

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 39 is 3 x 13

Prime Factorization of 58 is 2 x 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(36, 96) = 288

GCD(36, 96) = ( 36 x 96 ) / 288

GCD(36, 96) = 3456 / 288

GCD(36, 96) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 39

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

LCM(12, 39) = 156

GCD(12, 39) = ( 12 x 39 ) / 156

GCD(12, 39) = 468 / 156

GCD(12, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

GCD of 36, 96, 39, 58 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 27, 37, 63
• GCD of 97, 70, 18, 86
• GCD of 55, 80, 41, 70
• GCD of 98, 65, 55, 63
• GCD of 59, 51, 34, 90

1. What is the GCD of 36, 96, 39, 58?

GCD of 36, 96, 39, 58 is 1

2. Where do I get the detailed procedure to find GCD of 36, 96, 39, 58?

You can find a detailed procedure to find GCD of 36, 96, 39, 58 on our page.

3. How to find GCD of 36, 96, 39, 58 on a calculator?

You can find the GCD of 36, 96, 39, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.