GCD of 609, 687, 40, 735 Calculator

Given Input numbers are 609, 687, 40, 735

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

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 609, 687, 40, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 687, 40, 735 is 1.

Therefore, GCD of numbers 609, 687, 40, 735 is 1

Given Input Data is 609, 687, 40, 735

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 687 is 3 x 229

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 735 is 3 x 5 x 7 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(609, 687) = 139461

GCD(609, 687) = ( 609 x 687 ) / 139461

GCD(609, 687) = 418383 / 139461

GCD(609, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 609, 687, 40, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 893, 24, 468
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• GCD of 613, 793, 37, 715

1. What is the GCD of 609, 687, 40, 735?

GCD of 609, 687, 40, 735 is 1

2. Where do I get the detailed procedure to find GCD of 609, 687, 40, 735?

You can find a detailed procedure to find GCD of 609, 687, 40, 735 on our page.

3. How to find GCD of 609, 687, 40, 735 on a calculator?

You can find the GCD of 609, 687, 40, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.