GCD of 808, 644, 462, 728 Calculator

Given Input numbers are 808, 644, 462, 728

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (808, 644, 462, 728) = 2.

Given numbers are 808, 644, 462, 728

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 808, 644, 462, 728 is 2.

Given numbers are 808, 644, 462, 728

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

Apply this formula for all numbers.

Step1:

LCM(808, 644) = 130088

GCD(808, 644) = ( 808 x 644 ) / 130088

= 808 / 644

= 808

Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 808, 644, 462, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 320, 314, 985
• GCD of 242, 823, 859, 391
• GCD of 130, 600, 742, 601
• GCD of 347, 242, 254, 443
• GCD of 292, 477, 582, 252

Given numbers are 808, 644, 462, 728
The greatest common divisor of numbers 808, 644, 462, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 644, 462, 728 is 2.

1. What is the GCD of 808, 644, 462, 728?

GCD of given numbers 808, 644, 462, 728 is 2

2. How to calculate the greatest common divisor of 808, 644, 462, 728?

We can find the highest common divisor of 808, 644, 462, 728 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 808, 644, 462, 728 i.e 2.

3. How can I use the GCD of 808, 644, 462, 728Calculator?

Out the numbers 808, 644, 462, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.