GCD of 83, 59, 54, 15 Calculator

Given Input numbers are 83, 59, 54, 15

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 59

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

1, 59

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 83, 59, 54, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 59, 54, 15 is 1.

Therefore, GCD of numbers 83, 59, 54, 15 is 1

Given Input Data is 83, 59, 54, 15

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

Prime Factorization of 83 is 83

Prime Factorization of 59 is 59

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 15 is 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(83, 59) = 4897

GCD(83, 59) = ( 83 x 59 ) / 4897

GCD(83, 59) = 4897 / 4897

GCD(83, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

GCD of 83, 59, 54, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 98, 15, 26
• GCD of 41, 82, 91, 15
• GCD of 33, 81, 22, 50
• GCD of 89, 88, 19, 23
• GCD of 91, 38, 39, 44

1. What is the GCD of 83, 59, 54, 15?

GCD of 83, 59, 54, 15 is 1

2. Where do I get the detailed procedure to find GCD of 83, 59, 54, 15?

You can find a detailed procedure to find GCD of 83, 59, 54, 15 on our page.

3. How to find GCD of 83, 59, 54, 15 on a calculator?

You can find the GCD of 83, 59, 54, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.