GCD of 755, 438, 42, 509 Calculator

Given Input numbers are 755, 438, 42, 509

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 755, 438, 42, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 438, 42, 509 is 1.

Therefore, GCD of numbers 755, 438, 42, 509 is 1

Given Input Data is 755, 438, 42, 509

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 509 is 509

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(755, 438) = 330690

GCD(755, 438) = ( 755 x 438 ) / 330690

GCD(755, 438) = 330690 / 330690

GCD(755, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 755, 438, 42, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 115, 16, 927
• GCD of 438, 879, 28, 337
• GCD of 587, 271, 14, 186
• GCD of 758, 162, 39, 704
• GCD of 106, 455, 35, 643

1. What is the GCD of 755, 438, 42, 509?

GCD of 755, 438, 42, 509 is 1

2. Where do I get the detailed procedure to find GCD of 755, 438, 42, 509?

You can find a detailed procedure to find GCD of 755, 438, 42, 509 on our page.

3. How to find GCD of 755, 438, 42, 509 on a calculator?

You can find the GCD of 755, 438, 42, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.