GCD of 90, 99, 71, 19 Calculator

Given Input numbers are 90, 99, 71, 19

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 99

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

1, 3, 9, 11, 33, 99

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Greatest Common Divisior

We found the divisors of 90, 99, 71, 19 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 99, 71, 19 is 1.

Therefore, GCD of numbers 90, 99, 71, 19 is 1

Given Input Data is 90, 99, 71, 19

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 99 is 3 x 3 x 11

Prime Factorization of 71 is 71

Prime Factorization of 19 is 19

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, 99) = 990

GCD(90, 99) = ( 90 x 99 ) / 990

GCD(90, 99) = 8910 / 990

GCD(90, 99) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 71

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

LCM(9, 71) = 639

GCD(9, 71) = ( 9 x 71 ) / 639

GCD(9, 71) = 639 / 639

GCD(9, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

GCD of 90, 99, 71, 19 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 80, 60, 17
• GCD of 28, 83, 62, 18
• GCD of 23, 64, 20, 38
• GCD of 96, 30, 51, 76
• GCD of 67, 26, 58, 69

1. What is the GCD of 90, 99, 71, 19?

GCD of 90, 99, 71, 19 is 1

2. Where do I get the detailed procedure to find GCD of 90, 99, 71, 19?

You can find a detailed procedure to find GCD of 90, 99, 71, 19 on our page.

3. How to find GCD of 90, 99, 71, 19 on a calculator?

You can find the GCD of 90, 99, 71, 19 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.