GCD of 390, 252, 205, 121 Calculator

Given Input numbers are 390, 252, 205, 121

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 390, 252, 205, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 252, 205, 121 is 1.

Therefore, GCD of numbers 390, 252, 205, 121 is 1

Given Input Data is 390, 252, 205, 121

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 205 is 5 x 41

Prime Factorization of 121 is 11 x 11

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(390, 252) = 16380

GCD(390, 252) = ( 390 x 252 ) / 16380

GCD(390, 252) = 98280 / 16380

GCD(390, 252) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 205

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

LCM(6, 205) = 1230

GCD(6, 205) = ( 6 x 205 ) / 1230

GCD(6, 205) = 1230 / 1230

GCD(6, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 390, 252, 205, 121 is 1

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1. What is the GCD of 390, 252, 205, 121?

GCD of 390, 252, 205, 121 is 1

2. Where do I get the detailed procedure to find GCD of 390, 252, 205, 121?

You can find a detailed procedure to find GCD of 390, 252, 205, 121 on our page.

3. How to find GCD of 390, 252, 205, 121 on a calculator?

You can find the GCD of 390, 252, 205, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.