GCD of 816, 684, 381, 512 Calculator

Given Input numbers are 816, 684, 381, 512

In the factoring method, we have to find the divisors of all numbers

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (816, 684, 381, 512) = 1.

Given numbers are 816, 684, 381, 512

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 381 are 3 x 127

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 816, 684, 381, 512

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(816, 684) = 46512

GCD(816, 684) = ( 816 x 684 ) / 46512

= 816 / 684

= 816

Step2:

LCM(12, 381) = 1524

GCD(12, 381) = ( 12 x 381 ) / 1524

= 12 / 381

= 12

Step3:

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

= 3 / 512

= 3

So, Greatest Common Divisor of 816, 684, 381, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 106, 292, 513
• GCD of 239, 464, 674, 379
• GCD of 301, 385, 892, 476
• GCD of 412, 476, 225, 456
• GCD of 236, 775, 403, 217

Given numbers are 816, 684, 381, 512
The greatest common divisor of numbers 816, 684, 381, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 684, 381, 512 is 1.

1. What is the GCD of 816, 684, 381, 512?

GCD of given numbers 816, 684, 381, 512 is 1

2. How to calculate the greatest common divisor of 816, 684, 381, 512?

We can find the highest common divisor of 816, 684, 381, 512 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 816, 684, 381, 512 i.e 1.

3. How can I use the GCD of 816, 684, 381, 512Calculator?

Out the numbers 816, 684, 381, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.