GCD of 59, 23, 75, 31 Calculator

Given Input numbers are 59, 23, 75, 31

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 59, 23, 75, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 23, 75, 31 is 1.

Therefore, GCD of numbers 59, 23, 75, 31 is 1

Given Input Data is 59, 23, 75, 31

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

Prime Factorization of 59 is 59

Prime Factorization of 23 is 23

Prime Factorization of 75 is 3 x 5 x 5

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(59, 23) = 1357

GCD(59, 23) = ( 59 x 23 ) / 1357

GCD(59, 23) = 1357 / 1357

GCD(59, 23) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 59, 23, 75, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 22, 68, 45
• GCD of 69, 35, 99, 74
• GCD of 52, 94, 71, 67
• GCD of 64, 67, 62, 12
• GCD of 10, 46, 36, 55

1. What is the GCD of 59, 23, 75, 31?

GCD of 59, 23, 75, 31 is 1

2. Where do I get the detailed procedure to find GCD of 59, 23, 75, 31?

You can find a detailed procedure to find GCD of 59, 23, 75, 31 on our page.

3. How to find GCD of 59, 23, 75, 31 on a calculator?

You can find the GCD of 59, 23, 75, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.