GCD of 507, 708, 16, 382 Calculator

Given Input numbers are 507, 708, 16, 382

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

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 507, 708, 16, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 708, 16, 382 is 1.

Therefore, GCD of numbers 507, 708, 16, 382 is 1

Given Input Data is 507, 708, 16, 382

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 382 is 2 x 191

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(507, 708) = 119652

GCD(507, 708) = ( 507 x 708 ) / 119652

GCD(507, 708) = 358956 / 119652

GCD(507, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 507, 708, 16, 382 is 1

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• GCD of 669, 128, 68, 575
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• GCD of 835, 334, 21, 152

1. What is the GCD of 507, 708, 16, 382?

GCD of 507, 708, 16, 382 is 1

2. Where do I get the detailed procedure to find GCD of 507, 708, 16, 382?

You can find a detailed procedure to find GCD of 507, 708, 16, 382 on our page.

3. How to find GCD of 507, 708, 16, 382 on a calculator?

You can find the GCD of 507, 708, 16, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.