GCD of 630, 561, 638, 709 Calculator

Given Input numbers are 630, 561, 638, 709

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 630, 561, 638, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 561, 638, 709 is 1.

Therefore, GCD of numbers 630, 561, 638, 709 is 1

Given Input Data is 630, 561, 638, 709

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 709 is 709

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(630, 561) = 117810

GCD(630, 561) = ( 630 x 561 ) / 117810

GCD(630, 561) = 353430 / 117810

GCD(630, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 638

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

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

GCD(3, 638) = 1914 / 1914

GCD(3, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 630, 561, 638, 709 is 1

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• GCD of 600, 708, 337, 893
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• GCD of 393, 715, 941, 542

1. What is the GCD of 630, 561, 638, 709?

GCD of 630, 561, 638, 709 is 1

2. Where do I get the detailed procedure to find GCD of 630, 561, 638, 709?

You can find a detailed procedure to find GCD of 630, 561, 638, 709 on our page.

3. How to find GCD of 630, 561, 638, 709 on a calculator?

You can find the GCD of 630, 561, 638, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.