GCD of 390, 463, 351, 242 Calculator

Given Input numbers are 390, 463, 351, 242

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 390, 463, 351, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 463, 351, 242 is 1.

Therefore, GCD of numbers 390, 463, 351, 242 is 1

Given Input Data is 390, 463, 351, 242

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 463 is 463

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 242 is 2 x 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, 463) = 180570

GCD(390, 463) = ( 390 x 463 ) / 180570

GCD(390, 463) = 180570 / 180570

GCD(390, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 390, 463, 351, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 970, 857, 729
• GCD of 640, 278, 810, 855
• GCD of 101, 579, 587, 506
• GCD of 912, 370, 876, 804
• GCD of 115, 102, 781, 321

1. What is the GCD of 390, 463, 351, 242?

GCD of 390, 463, 351, 242 is 1

2. Where do I get the detailed procedure to find GCD of 390, 463, 351, 242?

You can find a detailed procedure to find GCD of 390, 463, 351, 242 on our page.

3. How to find GCD of 390, 463, 351, 242 on a calculator?

You can find the GCD of 390, 463, 351, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.