GCD of 816, 300, 858, 567 Calculator

Given Input numbers are 816, 300, 858, 567

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (816, 300, 858, 567) = 3.

Given numbers are 816, 300, 858, 567

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 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 816, 300, 858, 567 is 3.

Given numbers are 816, 300, 858, 567

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

Apply this formula for all numbers.

Step1:

LCM(816, 300) = 20400

GCD(816, 300) = ( 816 x 300 ) / 20400

= 816 / 300

= 816

Step2:

LCM(12, 858) = 1716

GCD(12, 858) = ( 12 x 858 ) / 1716

= 12 / 858

= 12

Step3:

LCM(6, 567) = 1134

GCD(6, 567) = ( 6 x 567 ) / 1134

= 6 / 567

= 6

So, Greatest Common Divisor of 816, 300, 858, 567 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 755, 901, 787
• GCD of 611, 865, 662, 392
• GCD of 257, 340, 205, 571
• GCD of 349, 773, 288, 259
• GCD of 438, 272, 374, 367

Given numbers are 816, 300, 858, 567
The greatest common divisor of numbers 816, 300, 858, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 300, 858, 567 is 3.

1. What is the GCD of 816, 300, 858, 567?

GCD of given numbers 816, 300, 858, 567 is 3

2. How to calculate the greatest common divisor of 816, 300, 858, 567?

We can find the highest common divisor of 816, 300, 858, 567 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, 300, 858, 567 i.e 3.

3. How can I use the GCD of 816, 300, 858, 567Calculator?

Out the numbers 816, 300, 858, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.