GCD of 407, 636, 15, 704 Calculator

Given Input numbers are 407, 636, 15, 704

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 407, 636, 15, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 636, 15, 704 is 1.

Therefore, GCD of numbers 407, 636, 15, 704 is 1

Given Input Data is 407, 636, 15, 704

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 15 is 3 x 5

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(407, 636) = 258852

GCD(407, 636) = ( 407 x 636 ) / 258852

GCD(407, 636) = 258852 / 258852

GCD(407, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 407, 636, 15, 704 is 1

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1. What is the GCD of 407, 636, 15, 704?

GCD of 407, 636, 15, 704 is 1

2. Where do I get the detailed procedure to find GCD of 407, 636, 15, 704?

You can find a detailed procedure to find GCD of 407, 636, 15, 704 on our page.

3. How to find GCD of 407, 636, 15, 704 on a calculator?

You can find the GCD of 407, 636, 15, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.