GCD of 819, 336, 234, 369 Calculator

Given Input numbers are 819, 336, 234, 369

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 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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (819, 336, 234, 369) = 3.

Given numbers are 819, 336, 234, 369

The list of prime factors of all numbers are

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

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

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 819, 336, 234, 369 is 3.

Given numbers are 819, 336, 234, 369

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

Apply this formula for all numbers.

Step1:

LCM(819, 336) = 13104

GCD(819, 336) = ( 819 x 336 ) / 13104

= 819 / 336

= 819

Step2:

LCM(21, 234) = 1638

GCD(21, 234) = ( 21 x 234 ) / 1638

= 21 / 234

= 21

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 819, 336, 234, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 846, 419, 774
• GCD of 262, 977, 760, 571
• GCD of 343, 150, 217, 532
• GCD of 581, 932, 520, 780
• GCD of 138, 382, 957, 567

Given numbers are 819, 336, 234, 369
The greatest common divisor of numbers 819, 336, 234, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 819, 336, 234, 369 is 3.

1. What is the GCD of 819, 336, 234, 369?

GCD of given numbers 819, 336, 234, 369 is 3

2. How to calculate the greatest common divisor of 819, 336, 234, 369?

We can find the highest common divisor of 819, 336, 234, 369 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, 336, 234, 369 i.e 3.

3. How can I use the GCD of 819, 336, 234, 369Calculator?

Out the numbers 819, 336, 234, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.