GCD of 53, 39, 61, 36 Calculator

Given Input numbers are 53, 39, 61, 36

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

Divisors of 53

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

1, 53

Divisors of 39

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

1, 3, 13, 39

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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

Greatest Common Divisior

We found the divisors of 53, 39, 61, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 39, 61, 36 is 1.

Therefore, GCD of numbers 53, 39, 61, 36 is 1

Given Input Data is 53, 39, 61, 36

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

Prime Factorization of 53 is 53

Prime Factorization of 39 is 3 x 13

Prime Factorization of 61 is 61

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

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(53, 39) = 2067

GCD(53, 39) = ( 53 x 39 ) / 2067

GCD(53, 39) = 2067 / 2067

GCD(53, 39) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 53, 39, 61, 36 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 87, 28, 23
• GCD of 38, 48, 47, 77
• GCD of 59, 55, 72, 26
• GCD of 44, 46, 13, 26
• GCD of 68, 62, 10, 14

1. What is the GCD of 53, 39, 61, 36?

GCD of 53, 39, 61, 36 is 1

2. Where do I get the detailed procedure to find GCD of 53, 39, 61, 36?

You can find a detailed procedure to find GCD of 53, 39, 61, 36 on our page.

3. How to find GCD of 53, 39, 61, 36 on a calculator?

You can find the GCD of 53, 39, 61, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.