GCD of 609, 377, 13, 738 Calculator

Given Input numbers are 609, 377, 13, 738

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 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 609, 377, 13, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 377, 13, 738 is 1.

Therefore, GCD of numbers 609, 377, 13, 738 is 1

Given Input Data is 609, 377, 13, 738

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 377 is 13 x 29

Prime Factorization of 13 is 13

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 377) = 7917

GCD(609, 377) = ( 609 x 377 ) / 7917

GCD(609, 377) = 229593 / 7917

GCD(609, 377) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 13

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

LCM(29, 13) = 377

GCD(29, 13) = ( 29 x 13 ) / 377

GCD(29, 13) = 377 / 377

GCD(29, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 609, 377, 13, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 423, 73, 377
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• GCD of 417, 560, 20, 903
• GCD of 666, 936, 28, 471
• GCD of 853, 119, 36, 493

1. What is the GCD of 609, 377, 13, 738?

GCD of 609, 377, 13, 738 is 1

2. Where do I get the detailed procedure to find GCD of 609, 377, 13, 738?

You can find a detailed procedure to find GCD of 609, 377, 13, 738 on our page.

3. How to find GCD of 609, 377, 13, 738 on a calculator?

You can find the GCD of 609, 377, 13, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.