GCD of 824, 438, 586, 816 Calculator

Given Input numbers are 824, 438, 586, 816

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 438, 586, 816) = 2.

Given numbers are 824, 438, 586, 816

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 438 are 2 x 3 x 73

Prime factors of 586 are 2 x 293

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

The highest common occurrence is 2¹

Therefore, GCD of 824, 438, 586, 816 is 2.

Given numbers are 824, 438, 586, 816

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

Apply this formula for all numbers.

Step1:

LCM(824, 438) = 180456

GCD(824, 438) = ( 824 x 438 ) / 180456

= 824 / 438

= 824

Step2:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

Step3:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2

So, Greatest Common Divisor of 824, 438, 586, 816 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 958, 906, 462
• GCD of 896, 759, 554, 912
• GCD of 714, 320, 446, 923
• GCD of 415, 398, 904, 704
• GCD of 439, 628, 513, 246

Given numbers are 824, 438, 586, 816
The greatest common divisor of numbers 824, 438, 586, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 438, 586, 816 is 2.

1. What is the GCD of 824, 438, 586, 816?

GCD of given numbers 824, 438, 586, 816 is 2

2. How to calculate the greatest common divisor of 824, 438, 586, 816?

We can find the highest common divisor of 824, 438, 586, 816 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 824, 438, 586, 816 i.e 2.

3. How can I use the GCD of 824, 438, 586, 816Calculator?

Out the numbers 824, 438, 586, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.