GCD of 53, 36, 55, 56 Calculator

Given Input numbers are 53, 36, 55, 56

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 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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 53, 36, 55, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 36, 55, 56 is 1.

Therefore, GCD of numbers 53, 36, 55, 56 is 1

Given Input Data is 53, 36, 55, 56

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

Prime Factorization of 53 is 53

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 56 is 2 x 2 x 2 x 7

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, 36) = 1908

GCD(53, 36) = ( 53 x 36 ) / 1908

GCD(53, 36) = 1908 / 1908

GCD(53, 36) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 53, 36, 55, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 91, 90, 14
• GCD of 88, 35, 93, 27
• GCD of 56, 34, 57, 42
• GCD of 68, 28, 34, 73
• GCD of 10, 80, 37, 27

1. What is the GCD of 53, 36, 55, 56?

GCD of 53, 36, 55, 56 is 1

2. Where do I get the detailed procedure to find GCD of 53, 36, 55, 56?

You can find a detailed procedure to find GCD of 53, 36, 55, 56 on our page.

3. How to find GCD of 53, 36, 55, 56 on a calculator?

You can find the GCD of 53, 36, 55, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.