GCD of 559, 648, 633, 657 Calculator

Given Input numbers are 559, 648, 633, 657

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 559, 648, 633, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 648, 633, 657 is 1.

Therefore, GCD of numbers 559, 648, 633, 657 is 1

Given Input Data is 559, 648, 633, 657

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 633 is 3 x 211

Prime Factorization of 657 is 3 x 3 x 73

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(559, 648) = 362232

GCD(559, 648) = ( 559 x 648 ) / 362232

GCD(559, 648) = 362232 / 362232

GCD(559, 648) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 559, 648, 633, 657 is 1

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1. What is the GCD of 559, 648, 633, 657?

GCD of 559, 648, 633, 657 is 1

2. Where do I get the detailed procedure to find GCD of 559, 648, 633, 657?

You can find a detailed procedure to find GCD of 559, 648, 633, 657 on our page.

3. How to find GCD of 559, 648, 633, 657 on a calculator?

You can find the GCD of 559, 648, 633, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.