GCD of 59, 46, 52, 17 Calculator

Given Input numbers are 59, 46, 52, 17

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 59, 46, 52, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 46, 52, 17 is 1.

Therefore, GCD of numbers 59, 46, 52, 17 is 1

Given Input Data is 59, 46, 52, 17

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

Prime Factorization of 59 is 59

Prime Factorization of 46 is 2 x 23

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 17 is 17

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(59, 46) = 2714

GCD(59, 46) = ( 59 x 46 ) / 2714

GCD(59, 46) = 2714 / 2714

GCD(59, 46) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 59, 46, 52, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 81, 30, 34
• GCD of 25, 19, 43, 40
• GCD of 62, 33, 12, 56
• GCD of 11, 91, 47, 46
• GCD of 28, 62, 32, 14

1. What is the GCD of 59, 46, 52, 17?

GCD of 59, 46, 52, 17 is 1

2. Where do I get the detailed procedure to find GCD of 59, 46, 52, 17?

You can find a detailed procedure to find GCD of 59, 46, 52, 17 on our page.

3. How to find GCD of 59, 46, 52, 17 on a calculator?

You can find the GCD of 59, 46, 52, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.