GCD of 22, 75, 10, 90 Calculator

Given Input numbers are 22, 75, 10, 90

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 22, 75, 10, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 75, 10, 90 is 1.

Therefore, GCD of numbers 22, 75, 10, 90 is 1

Given Input Data is 22, 75, 10, 90

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 90 is 2 x 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(22, 75) = 1650

GCD(22, 75) = ( 22 x 75 ) / 1650

GCD(22, 75) = 1650 / 1650

GCD(22, 75) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 22, 75, 10, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 99, 35, 44
• GCD of 12, 58, 65, 75
• GCD of 75, 90, 18, 29
• GCD of 74, 44, 50, 95
• GCD of 69, 71, 18, 23

1. What is the GCD of 22, 75, 10, 90?

GCD of 22, 75, 10, 90 is 1

2. Where do I get the detailed procedure to find GCD of 22, 75, 10, 90?

You can find a detailed procedure to find GCD of 22, 75, 10, 90 on our page.

3. How to find GCD of 22, 75, 10, 90 on a calculator?

You can find the GCD of 22, 75, 10, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.