GCD of 720, 636, 415, 774 Calculator

Given Input numbers are 720, 636, 415, 774

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 720, 636, 415, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 636, 415, 774 is 1.

Therefore, GCD of numbers 720, 636, 415, 774 is 1

Given Input Data is 720, 636, 415, 774

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(720, 636) = 38160

GCD(720, 636) = ( 720 x 636 ) / 38160

GCD(720, 636) = 457920 / 38160

GCD(720, 636) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 415

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

LCM(12, 415) = 4980

GCD(12, 415) = ( 12 x 415 ) / 4980

GCD(12, 415) = 4980 / 4980

GCD(12, 415) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 720, 636, 415, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 192, 316, 420
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• GCD of 446, 885, 352, 962

1. What is the GCD of 720, 636, 415, 774?

GCD of 720, 636, 415, 774 is 1

2. Where do I get the detailed procedure to find GCD of 720, 636, 415, 774?

You can find a detailed procedure to find GCD of 720, 636, 415, 774 on our page.

3. How to find GCD of 720, 636, 415, 774 on a calculator?

You can find the GCD of 720, 636, 415, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.