GCD of 59, 86, 39, 45 Calculator

Given Input numbers are 59, 86, 39, 45

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 59, 86, 39, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 86, 39, 45 is 1.

Therefore, GCD of numbers 59, 86, 39, 45 is 1

Given Input Data is 59, 86, 39, 45

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

Prime Factorization of 59 is 59

Prime Factorization of 86 is 2 x 43

Prime Factorization of 39 is 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

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, 86) = 5074

GCD(59, 86) = ( 59 x 86 ) / 5074

GCD(59, 86) = 5074 / 5074

GCD(59, 86) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 59, 86, 39, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 36, 60, 83
• GCD of 50, 22, 22, 37
• GCD of 37, 45, 87, 55
• GCD of 41, 54, 79, 98
• GCD of 29, 52, 79, 18

1. What is the GCD of 59, 86, 39, 45?

GCD of 59, 86, 39, 45 is 1

2. Where do I get the detailed procedure to find GCD of 59, 86, 39, 45?

You can find a detailed procedure to find GCD of 59, 86, 39, 45 on our page.

3. How to find GCD of 59, 86, 39, 45 on a calculator?

You can find the GCD of 59, 86, 39, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.