GCD of 36, 69, 53, 19 Calculator

Given Input numbers are 36, 69, 53, 19

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 36, 69, 53, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 69, 53, 19 is 1.

Therefore, GCD of numbers 36, 69, 53, 19 is 1

Given Input Data is 36, 69, 53, 19

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 69 is 3 x 23

Prime Factorization of 53 is 53

Prime Factorization of 19 is 19

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, 69) = 828

GCD(36, 69) = ( 36 x 69 ) / 828

GCD(36, 69) = 2484 / 828

GCD(36, 69) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 36, 69, 53, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 58, 86, 93
• GCD of 55, 38, 53, 85
• GCD of 68, 52, 82, 47
• GCD of 25, 42, 26, 17
• GCD of 91, 75, 65, 37

1. What is the GCD of 36, 69, 53, 19?

GCD of 36, 69, 53, 19 is 1

2. Where do I get the detailed procedure to find GCD of 36, 69, 53, 19?

You can find a detailed procedure to find GCD of 36, 69, 53, 19 on our page.

3. How to find GCD of 36, 69, 53, 19 on a calculator?

You can find the GCD of 36, 69, 53, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.