GCD of 159, 462, 68, 507 Calculator

Given Input numbers are 159, 462, 68, 507

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 159, 462, 68, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 462, 68, 507 is 1.

Therefore, GCD of numbers 159, 462, 68, 507 is 1

Given Input Data is 159, 462, 68, 507

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 507 is 3 x 13 x 13

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(159, 462) = 24486

GCD(159, 462) = ( 159 x 462 ) / 24486

GCD(159, 462) = 73458 / 24486

GCD(159, 462) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 159, 462, 68, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 389, 13, 845
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• GCD of 869, 425, 10, 246
• GCD of 400, 102, 19, 429
• GCD of 360, 129, 22, 852

1. What is the GCD of 159, 462, 68, 507?

GCD of 159, 462, 68, 507 is 1

2. Where do I get the detailed procedure to find GCD of 159, 462, 68, 507?

You can find a detailed procedure to find GCD of 159, 462, 68, 507 on our page.

3. How to find GCD of 159, 462, 68, 507 on a calculator?

You can find the GCD of 159, 462, 68, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.