GCD of 816, 213, 684, 900 Calculator

Given Input numbers are 816, 213, 684, 900

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (816, 213, 684, 900) = 3.

Given numbers are 816, 213, 684, 900

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 213 are 3 x 71

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 816, 213, 684, 900 is 3.

Given numbers are 816, 213, 684, 900

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

Apply this formula for all numbers.

Step1:

LCM(816, 213) = 57936

GCD(816, 213) = ( 816 x 213 ) / 57936

= 816 / 213

= 816

Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 816, 213, 684, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 209, 570, 794
• GCD of 571, 462, 644, 137
• GCD of 469, 393, 113, 731
• GCD of 272, 327, 328, 897
• GCD of 188, 858, 473, 702

Given numbers are 816, 213, 684, 900
The greatest common divisor of numbers 816, 213, 684, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 213, 684, 900 is 3.

1. What is the GCD of 816, 213, 684, 900?

GCD of given numbers 816, 213, 684, 900 is 3

2. How to calculate the greatest common divisor of 816, 213, 684, 900?

We can find the highest common divisor of 816, 213, 684, 900 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, 213, 684, 900 i.e 3.

3. How can I use the GCD of 816, 213, 684, 900Calculator?

Out the numbers 816, 213, 684, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.