GCD of 90, 58, 80, 99 Calculator

Given Input numbers are 90, 58, 80, 99

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 58

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

1, 2, 29, 58

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 90, 58, 80, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 58, 80, 99 is 1.

Therefore, GCD of numbers 90, 58, 80, 99 is 1

Given Input Data is 90, 58, 80, 99

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 58 is 2 x 29

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 99 is 3 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(90, 58) = 2610

GCD(90, 58) = ( 90 x 58 ) / 2610

GCD(90, 58) = 5220 / 2610

GCD(90, 58) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

GCD of 90, 58, 80, 99 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 30, 70, 94
• GCD of 18, 31, 88, 19
• GCD of 30, 53, 20, 15
• GCD of 60, 76, 21, 80
• GCD of 36, 37, 74, 39

1. What is the GCD of 90, 58, 80, 99?

GCD of 90, 58, 80, 99 is 1

2. Where do I get the detailed procedure to find GCD of 90, 58, 80, 99?

You can find a detailed procedure to find GCD of 90, 58, 80, 99 on our page.

3. How to find GCD of 90, 58, 80, 99 on a calculator?

You can find the GCD of 90, 58, 80, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.