GCD of 59, 40, 58, 66 Calculator

Given Input numbers are 59, 40, 58, 66

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 59, 40, 58, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 40, 58, 66 is 1.

Therefore, GCD of numbers 59, 40, 58, 66 is 1

Given Input Data is 59, 40, 58, 66

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

Prime Factorization of 59 is 59

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 66 is 2 x 3 x 11

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, 40) = 2360

GCD(59, 40) = ( 59 x 40 ) / 2360

GCD(59, 40) = 2360 / 2360

GCD(59, 40) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 59, 40, 58, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 46, 33, 96
• GCD of 40, 78, 33, 91
• GCD of 70, 84, 17, 98
• GCD of 96, 22, 16, 22
• GCD of 92, 67, 29, 31

1. What is the GCD of 59, 40, 58, 66?

GCD of 59, 40, 58, 66 is 1

2. Where do I get the detailed procedure to find GCD of 59, 40, 58, 66?

You can find a detailed procedure to find GCD of 59, 40, 58, 66 on our page.

3. How to find GCD of 59, 40, 58, 66 on a calculator?

You can find the GCD of 59, 40, 58, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.