GCD of 231, 492, 819 Calculator

Given Input numbers are 231, 492, 819

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

GCD of numbers is the greatest common divisor

So, the GCD (231, 492, 819) = 3.

Given numbers are 231, 492, 819

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

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

The highest common occurrence is 3¹

Therefore, GCD of 231, 492, 819 is 3.

Given numbers are 231, 492, 819

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

Apply this formula for all numbers.

Step1:

LCM(231, 492) = 37884

GCD(231, 492) = ( 231 x 492 ) / 37884

= 231 / 492

= 231

Step2:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3

So, Greatest Common Divisor of 231, 492, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 522, 776
• GCD of 643, 692, 111
• GCD of 314, 585, 166
• GCD of 426, 867, 499
• GCD of 599, 496, 339

Given numbers are 231, 492, 819
The greatest common divisor of numbers 231, 492, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 492, 819 is 3.

1. What is the GCD of 231, 492, 819?

GCD of given numbers 231, 492, 819 is 3

2. How to calculate the greatest common divisor of 231, 492, 819?

We can find the highest common divisor of 231, 492, 819 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 231, 492, 819 i.e 3.

3. How can I use the GCD of 231, 492, 819Calculator?

Out the numbers 231, 492, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.