GCD of 215, 165, 22, 775 Calculator

Given Input numbers are 215, 165, 22, 775

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 22

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

1, 2, 11, 22

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 215, 165, 22, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 165, 22, 775 is 1.

Therefore, GCD of numbers 215, 165, 22, 775 is 1

Given Input Data is 215, 165, 22, 775

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 775 is 5 x 5 x 31

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(215, 165) = 7095

GCD(215, 165) = ( 215 x 165 ) / 7095

GCD(215, 165) = 35475 / 7095

GCD(215, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 22

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

LCM(5, 22) = 110

GCD(5, 22) = ( 5 x 22 ) / 110

GCD(5, 22) = 110 / 110

GCD(5, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 215, 165, 22, 775 is 1

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1. What is the GCD of 215, 165, 22, 775?

GCD of 215, 165, 22, 775 is 1

2. Where do I get the detailed procedure to find GCD of 215, 165, 22, 775?

You can find a detailed procedure to find GCD of 215, 165, 22, 775 on our page.

3. How to find GCD of 215, 165, 22, 775 on a calculator?

You can find the GCD of 215, 165, 22, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.