GCD of 53, 33, 72, 31 Calculator

Given Input numbers are 53, 33, 72, 31

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 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 53, 33, 72, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 33, 72, 31 is 1.

Therefore, GCD of numbers 53, 33, 72, 31 is 1

Given Input Data is 53, 33, 72, 31

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

Prime Factorization of 53 is 53

Prime Factorization of 33 is 3 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 31 is 31

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, 33) = 1749

GCD(53, 33) = ( 53 x 33 ) / 1749

GCD(53, 33) = 1749 / 1749

GCD(53, 33) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 53, 33, 72, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 44, 97, 82
• GCD of 95, 54, 77, 23
• GCD of 69, 37, 29, 49
• GCD of 18, 91, 11, 96
• GCD of 73, 36, 39, 99

1. What is the GCD of 53, 33, 72, 31?

GCD of 53, 33, 72, 31 is 1

2. Where do I get the detailed procedure to find GCD of 53, 33, 72, 31?

You can find a detailed procedure to find GCD of 53, 33, 72, 31 on our page.

3. How to find GCD of 53, 33, 72, 31 on a calculator?

You can find the GCD of 53, 33, 72, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.