GCD of 36, 92, 45, 59 Calculator

Given Input numbers are 36, 92, 45, 59

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 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 59

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

1, 59

Greatest Common Divisior

We found the divisors of 36, 92, 45, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 92, 45, 59 is 1.

Therefore, GCD of numbers 36, 92, 45, 59 is 1

Given Input Data is 36, 92, 45, 59

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 92 is 2 x 2 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 59 is 59

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, 92) = 828

GCD(36, 92) = ( 36 x 92 ) / 828

GCD(36, 92) = 3312 / 828

GCD(36, 92) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 36, 92, 45, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 41, 34, 88
• GCD of 58, 28, 36, 91
• GCD of 67, 30, 14, 65
• GCD of 46, 20, 24, 89
• GCD of 32, 43, 48, 36

1. What is the GCD of 36, 92, 45, 59?

GCD of 36, 92, 45, 59 is 1

2. Where do I get the detailed procedure to find GCD of 36, 92, 45, 59?

You can find a detailed procedure to find GCD of 36, 92, 45, 59 on our page.

3. How to find GCD of 36, 92, 45, 59 on a calculator?

You can find the GCD of 36, 92, 45, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.