GCD of 512, 243, 729, 993 Calculator

Given Input numbers are 512, 243, 729, 993

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (512, 243, 729, 993) = 1.

Given numbers are 512, 243, 729, 993

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 993 are 3 x 331

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

Given numbers are 512, 243, 729, 993

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

Apply this formula for all numbers.

Step1:

LCM(512, 243) = 124416

GCD(512, 243) = ( 512 x 243 ) / 124416

= 512 / 243

= 512

Step2:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 512, 243, 729, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 159, 629, 647
• GCD of 266, 799, 224, 895
• GCD of 800, 876, 722, 378
• GCD of 274, 601, 248, 522
• GCD of 133, 621, 413, 621

Given numbers are 512, 243, 729, 993
The greatest common divisor of numbers 512, 243, 729, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 243, 729, 993 is 1.

1. What is the GCD of 512, 243, 729, 993?

GCD of given numbers 512, 243, 729, 993 is 1

2. How to calculate the greatest common divisor of 512, 243, 729, 993?

We can find the highest common divisor of 512, 243, 729, 993 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 512, 243, 729, 993 i.e 1.

3. How can I use the GCD of 512, 243, 729, 993Calculator?

Out the numbers 512, 243, 729, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.