GCD of 816, 504, 638, 561 Calculator

Given Input numbers are 816, 504, 638, 561

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (816, 504, 638, 561) = 1.

Given numbers are 816, 504, 638, 561

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 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 638 are 2 x 11 x 29

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 816, 504, 638, 561

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

Apply this formula for all numbers.

Step1:

LCM(816, 504) = 17136

GCD(816, 504) = ( 816 x 504 ) / 17136

= 816 / 504

= 816

Step2:

LCM(24, 638) = 7656

GCD(24, 638) = ( 24 x 638 ) / 7656

= 24 / 638

= 24

Step3:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2

So, Greatest Common Divisor of 816, 504, 638, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 164, 623, 716
• GCD of 320, 253, 233, 344
• GCD of 829, 720, 630, 594
• GCD of 304, 846, 538, 830
• GCD of 758, 557, 833, 159

Given numbers are 816, 504, 638, 561
The greatest common divisor of numbers 816, 504, 638, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 504, 638, 561 is 1.

1. What is the GCD of 816, 504, 638, 561?

GCD of given numbers 816, 504, 638, 561 is 1

2. How to calculate the greatest common divisor of 816, 504, 638, 561?

We can find the highest common divisor of 816, 504, 638, 561 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, 504, 638, 561 i.e 1.

3. How can I use the GCD of 816, 504, 638, 561Calculator?

Out the numbers 816, 504, 638, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.