GCD of 300, 684, 819, 868 Calculator

Given Input numbers are 300, 684, 819, 868

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

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 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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (300, 684, 819, 868) = 1.

Given numbers are 300, 684, 819, 868

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 868 are 2 x 2 x 7 x 31

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

Given numbers are 300, 684, 819, 868

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

Apply this formula for all numbers.

Step1:

LCM(300, 684) = 17100

GCD(300, 684) = ( 300 x 684 ) / 17100

= 300 / 684

= 300

Step2:

LCM(12, 819) = 3276

GCD(12, 819) = ( 12 x 819 ) / 3276

= 12 / 819

= 12

Step3:

LCM(3, 868) = 2604

GCD(3, 868) = ( 3 x 868 ) / 2604

= 3 / 868

= 3

So, Greatest Common Divisor of 300, 684, 819, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 117, 235, 678
• GCD of 760, 157, 768, 401
• GCD of 296, 152, 495, 848
• GCD of 511, 285, 168, 452
• GCD of 169, 185, 274, 408

Given numbers are 300, 684, 819, 868
The greatest common divisor of numbers 300, 684, 819, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 684, 819, 868 is 1.

1. What is the GCD of 300, 684, 819, 868?

GCD of given numbers 300, 684, 819, 868 is 1

2. How to calculate the greatest common divisor of 300, 684, 819, 868?

We can find the highest common divisor of 300, 684, 819, 868 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 300, 684, 819, 868 i.e 1.

3. How can I use the GCD of 300, 684, 819, 868Calculator?

Out the numbers 300, 684, 819, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.