GCD of 636, 573, 456, 280 Calculator

Given Input numbers are 636, 573, 456, 280

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

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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 636, 573, 456, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 573, 456, 280 is 1.

Therefore, GCD of numbers 636, 573, 456, 280 is 1

Given Input Data is 636, 573, 456, 280

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

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(636, 573) = 121476

GCD(636, 573) = ( 636 x 573 ) / 121476

GCD(636, 573) = 364428 / 121476

GCD(636, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 280

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

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

GCD(3, 280) = 840 / 840

GCD(3, 280) = 1

GCD of 636, 573, 456, 280 is 1

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1. What is the GCD of 636, 573, 456, 280?

GCD of 636, 573, 456, 280 is 1

2. Where do I get the detailed procedure to find GCD of 636, 573, 456, 280?

You can find a detailed procedure to find GCD of 636, 573, 456, 280 on our page.

3. How to find GCD of 636, 573, 456, 280 on a calculator?

You can find the GCD of 636, 573, 456, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.