GCD of 255, 729, 216, 693 Calculator

Given Input numbers are 255, 729, 216, 693

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 729 :

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

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (255, 729, 216, 693) = 3.

Given numbers are 255, 729, 216, 693

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 255, 729, 216, 693 is 3.

Given numbers are 255, 729, 216, 693

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

Apply this formula for all numbers.

Step1:

LCM(255, 729) = 61965

GCD(255, 729) = ( 255 x 729 ) / 61965

= 255 / 729

= 255

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

So, Greatest Common Divisor of 255, 729, 216, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 508, 495, 881
• GCD of 257, 941, 521, 711
• GCD of 480, 705, 551, 342
• GCD of 382, 381, 911, 589
• GCD of 240, 119, 750, 919

Given numbers are 255, 729, 216, 693
The greatest common divisor of numbers 255, 729, 216, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 729, 216, 693 is 3.

1. What is the GCD of 255, 729, 216, 693?

GCD of given numbers 255, 729, 216, 693 is 3

2. How to calculate the greatest common divisor of 255, 729, 216, 693?

We can find the highest common divisor of 255, 729, 216, 693 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 255, 729, 216, 693 i.e 3.

3. How can I use the GCD of 255, 729, 216, 693Calculator?

Out the numbers 255, 729, 216, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.