GCD of 315, 631, 122, 413 Calculator

Given Input numbers are 315, 631, 122, 413

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 122

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

1, 2, 61, 122

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 315, 631, 122, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 631, 122, 413 is 1.

Therefore, GCD of numbers 315, 631, 122, 413 is 1

Given Input Data is 315, 631, 122, 413

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 631 is 631

Prime Factorization of 122 is 2 x 61

Prime Factorization of 413 is 7 x 59

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(315, 631) = 198765

GCD(315, 631) = ( 315 x 631 ) / 198765

GCD(315, 631) = 198765 / 198765

GCD(315, 631) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 315, 631, 122, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 112, 110, 493
• GCD of 392, 238, 475, 468
• GCD of 367, 691, 658, 786
• GCD of 675, 318, 109, 784
• GCD of 112, 918, 184, 825

1. What is the GCD of 315, 631, 122, 413?

GCD of 315, 631, 122, 413 is 1

2. Where do I get the detailed procedure to find GCD of 315, 631, 122, 413?

You can find a detailed procedure to find GCD of 315, 631, 122, 413 on our page.

3. How to find GCD of 315, 631, 122, 413 on a calculator?

You can find the GCD of 315, 631, 122, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.