GCD of 819, 693, 336 Calculator

Given Input numbers are 819, 693, 336

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

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (819, 693, 336) = 21.

Given numbers are 819, 693, 336

The list of prime factors of all numbers are

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

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 819, 693, 336 is 21.

Given numbers are 819, 693, 336

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

Apply this formula for all numbers.

Step1:

LCM(819, 693) = 9009

GCD(819, 693) = ( 819 x 693 ) / 9009

= 819 / 693

= 819

Step2:

LCM(63, 336) = 1008

GCD(63, 336) = ( 63 x 336 ) / 1008

= 63 / 336

= 63

So, Greatest Common Divisor of 819, 693, 336 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 671, 236
• GCD of 747, 863, 763
• GCD of 988, 589, 195
• GCD of 405, 107, 135
• GCD of 241, 615, 265

Given numbers are 819, 693, 336
The greatest common divisor of numbers 819, 693, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 693, 336 is 21.

1. What is the GCD of 819, 693, 336?

GCD of given numbers 819, 693, 336 is 21

2. How to calculate the greatest common divisor of 819, 693, 336?

We can find the highest common divisor of 819, 693, 336 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 819, 693, 336 i.e 21.

3. How can I use the GCD of 819, 693, 336Calculator?

Out the numbers 819, 693, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.