GCD of 627, 609, 966, 635 Calculator

Given Input numbers are 627, 609, 966, 635

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 627, 609, 966, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 609, 966, 635 is 1.

Therefore, GCD of numbers 627, 609, 966, 635 is 1

Given Input Data is 627, 609, 966, 635

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 635 is 5 x 127

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(627, 609) = 127281

GCD(627, 609) = ( 627 x 609 ) / 127281

GCD(627, 609) = 381843 / 127281

GCD(627, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 635

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

LCM(3, 635) = 1905

GCD(3, 635) = ( 3 x 635 ) / 1905

GCD(3, 635) = 1905 / 1905

GCD(3, 635) = 1

GCD of 627, 609, 966, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 354, 288, 126
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• GCD of 213, 351, 132, 585

1. What is the GCD of 627, 609, 966, 635?

GCD of 627, 609, 966, 635 is 1

2. Where do I get the detailed procedure to find GCD of 627, 609, 966, 635?

You can find a detailed procedure to find GCD of 627, 609, 966, 635 on our page.

3. How to find GCD of 627, 609, 966, 635 on a calculator?

You can find the GCD of 627, 609, 966, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.