GCD of 508, 667, 72, 437 Calculator

Given Input numbers are 508, 667, 72, 437

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 508, 667, 72, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 667, 72, 437 is 1.

Therefore, GCD of numbers 508, 667, 72, 437 is 1

Given Input Data is 508, 667, 72, 437

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 667 is 23 x 29

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 437 is 19 x 23

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(508, 667) = 338836

GCD(508, 667) = ( 508 x 667 ) / 338836

GCD(508, 667) = 338836 / 338836

GCD(508, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 508, 667, 72, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 476, 49, 133
• GCD of 254, 825, 23, 718
• GCD of 251, 146, 96, 765
• GCD of 939, 252, 21, 403
• GCD of 591, 879, 23, 815

1. What is the GCD of 508, 667, 72, 437?

GCD of 508, 667, 72, 437 is 1

2. Where do I get the detailed procedure to find GCD of 508, 667, 72, 437?

You can find a detailed procedure to find GCD of 508, 667, 72, 437 on our page.

3. How to find GCD of 508, 667, 72, 437 on a calculator?

You can find the GCD of 508, 667, 72, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.