GCD of 195, 445, 89, 122 Calculator

Given Input numbers are 195, 445, 89, 122

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 195, 445, 89, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 445, 89, 122 is 1.

Therefore, GCD of numbers 195, 445, 89, 122 is 1

Given Input Data is 195, 445, 89, 122

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 445 is 5 x 89

Prime Factorization of 89 is 89

Prime Factorization of 122 is 2 x 61

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(195, 445) = 17355

GCD(195, 445) = ( 195 x 445 ) / 17355

GCD(195, 445) = 86775 / 17355

GCD(195, 445) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 195, 445, 89, 122 is 1

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1. What is the GCD of 195, 445, 89, 122?

GCD of 195, 445, 89, 122 is 1

2. Where do I get the detailed procedure to find GCD of 195, 445, 89, 122?

You can find a detailed procedure to find GCD of 195, 445, 89, 122 on our page.

3. How to find GCD of 195, 445, 89, 122 on a calculator?

You can find the GCD of 195, 445, 89, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.