GCD of 315, 596, 11, 474 Calculator

Given Input numbers are 315, 596, 11, 474

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 315, 596, 11, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 596, 11, 474 is 1.

Therefore, GCD of numbers 315, 596, 11, 474 is 1

Given Input Data is 315, 596, 11, 474

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 596 is 2 x 2 x 149

Prime Factorization of 11 is 11

Prime Factorization of 474 is 2 x 3 x 79

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, 596) = 187740

GCD(315, 596) = ( 315 x 596 ) / 187740

GCD(315, 596) = 187740 / 187740

GCD(315, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 315, 596, 11, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 796, 81, 236
• GCD of 594, 670, 46, 443
• GCD of 471, 634, 11, 697
• GCD of 667, 611, 31, 823
• GCD of 145, 324, 94, 174

1. What is the GCD of 315, 596, 11, 474?

GCD of 315, 596, 11, 474 is 1

2. Where do I get the detailed procedure to find GCD of 315, 596, 11, 474?

You can find a detailed procedure to find GCD of 315, 596, 11, 474 on our page.

3. How to find GCD of 315, 596, 11, 474 on a calculator?

You can find the GCD of 315, 596, 11, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.