GCD of 52, 16, 72, 41 Calculator

Given Input numbers are 52, 16, 72, 41

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 52, 16, 72, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 16, 72, 41 is 1.

Therefore, GCD of numbers 52, 16, 72, 41 is 1

Given Input Data is 52, 16, 72, 41

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

Prime Factorization of 41 is 41

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(52, 16) = 208

GCD(52, 16) = ( 52 x 16 ) / 208

GCD(52, 16) = 832 / 208

GCD(52, 16) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 41

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

LCM(4, 41) = 164

GCD(4, 41) = ( 4 x 41 ) / 164

GCD(4, 41) = 164 / 164

GCD(4, 41) = 1

GCD of 52, 16, 72, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 20, 25, 46
• GCD of 89, 44, 53, 24
• GCD of 57, 31, 16, 80
• GCD of 92, 85, 51, 14
• GCD of 85, 17, 95, 29

1. What is the GCD of 52, 16, 72, 41?

GCD of 52, 16, 72, 41 is 1

2. Where do I get the detailed procedure to find GCD of 52, 16, 72, 41?

You can find a detailed procedure to find GCD of 52, 16, 72, 41 on our page.

3. How to find GCD of 52, 16, 72, 41 on a calculator?

You can find the GCD of 52, 16, 72, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.