GCD of 432, 693, 243 Calculator

Given Input numbers are 432, 693, 243

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (432, 693, 243) = 9.

Given numbers are 432, 693, 243

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 432, 693, 243 is 9.

Given numbers are 432, 693, 243

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

Apply this formula for all numbers.

Step1:

LCM(432, 693) = 33264

GCD(432, 693) = ( 432 x 693 ) / 33264

= 432 / 693

= 432

Step2:

LCM(9, 243) = 243

GCD(9, 243) = ( 9 x 243 ) / 243

= 9 / 243

= 9

So, Greatest Common Divisor of 432, 693, 243 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 475, 443
• GCD of 784, 615, 287
• GCD of 718, 358, 884
• GCD of 184, 434, 952
• GCD of 595, 283, 283

Given numbers are 432, 693, 243
The greatest common divisor of numbers 432, 693, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 693, 243 is 9.

1. What is the GCD of 432, 693, 243?

GCD of given numbers 432, 693, 243 is 9

2. How to calculate the greatest common divisor of 432, 693, 243?

We can find the highest common divisor of 432, 693, 243 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 432, 693, 243 i.e 9.

3. How can I use the GCD of 432, 693, 243Calculator?

Out the numbers 432, 693, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.