GCD of 504, 788, 16, 381 Calculator

Given Input numbers are 504, 788, 16, 381

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 504, 788, 16, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 788, 16, 381 is 1.

Therefore, GCD of numbers 504, 788, 16, 381 is 1

Given Input Data is 504, 788, 16, 381

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 788 is 2 x 2 x 197

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

Prime Factorization of 381 is 3 x 127

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(504, 788) = 99288

GCD(504, 788) = ( 504 x 788 ) / 99288

GCD(504, 788) = 397152 / 99288

GCD(504, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 381

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

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

GCD(4, 381) = 1524 / 1524

GCD(4, 381) = 1

GCD of 504, 788, 16, 381 is 1

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• GCD of 706, 415, 72, 679
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• GCD of 574, 339, 22, 880

1. What is the GCD of 504, 788, 16, 381?

GCD of 504, 788, 16, 381 is 1

2. Where do I get the detailed procedure to find GCD of 504, 788, 16, 381?

You can find a detailed procedure to find GCD of 504, 788, 16, 381 on our page.

3. How to find GCD of 504, 788, 16, 381 on a calculator?

You can find the GCD of 504, 788, 16, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.