GCD of 90, 20, 65, 83 Calculator

Given Input numbers are 90, 20, 65, 83

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 83

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

1, 83

Greatest Common Divisior

We found the divisors of 90, 20, 65, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 20, 65, 83 is 1.

Therefore, GCD of numbers 90, 20, 65, 83 is 1

Given Input Data is 90, 20, 65, 83

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 83 is 83

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(90, 20) = 180

GCD(90, 20) = ( 90 x 20 ) / 180

GCD(90, 20) = 1800 / 180

GCD(90, 20) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 65

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

LCM(10, 65) = 130

GCD(10, 65) = ( 10 x 65 ) / 130

GCD(10, 65) = 650 / 130

GCD(10, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 83

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

LCM(5, 83) = 415

GCD(5, 83) = ( 5 x 83 ) / 415

GCD(5, 83) = 415 / 415

GCD(5, 83) = 1

GCD of 90, 20, 65, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 23, 97, 71
• GCD of 76, 50, 81, 57
• GCD of 69, 41, 79, 49
• GCD of 73, 13, 18, 95
• GCD of 46, 62, 55, 83

1. What is the GCD of 90, 20, 65, 83?

GCD of 90, 20, 65, 83 is 1

2. Where do I get the detailed procedure to find GCD of 90, 20, 65, 83?

You can find a detailed procedure to find GCD of 90, 20, 65, 83 on our page.

3. How to find GCD of 90, 20, 65, 83 on a calculator?

You can find the GCD of 90, 20, 65, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.