GCD of 122, 197, 34, 361 Calculator

Given Input numbers are 122, 197, 34, 361

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 122, 197, 34, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 197, 34, 361 is 1.

Therefore, GCD of numbers 122, 197, 34, 361 is 1

Given Input Data is 122, 197, 34, 361

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 197 is 197

Prime Factorization of 34 is 2 x 17

Prime Factorization of 361 is 19 x 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(122, 197) = 24034

GCD(122, 197) = ( 122 x 197 ) / 24034

GCD(122, 197) = 24034 / 24034

GCD(122, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 122, 197, 34, 361 is 1

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1. What is the GCD of 122, 197, 34, 361?

GCD of 122, 197, 34, 361 is 1

2. Where do I get the detailed procedure to find GCD of 122, 197, 34, 361?

You can find a detailed procedure to find GCD of 122, 197, 34, 361 on our page.

3. How to find GCD of 122, 197, 34, 361 on a calculator?

You can find the GCD of 122, 197, 34, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.