GCD of 285, 780, 729, 231 Calculator

Given Input numbers are 285, 780, 729, 231

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

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 729 :

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

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

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (285, 780, 729, 231) = 3.

Given numbers are 285, 780, 729, 231

The list of prime factors of all numbers are

Prime factors of 285 are 3 x 5 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 285, 780, 729, 231 is 3.

Given numbers are 285, 780, 729, 231

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

Apply this formula for all numbers.

Step1:

LCM(285, 780) = 14820

GCD(285, 780) = ( 285 x 780 ) / 14820

= 285 / 780

= 285

Step2:

LCM(15, 729) = 3645

GCD(15, 729) = ( 15 x 729 ) / 3645

= 15 / 729

= 15

Step3:

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

= 3 / 231

= 3

So, Greatest Common Divisor of 285, 780, 729, 231 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 922, 796, 927
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Given numbers are 285, 780, 729, 231
The greatest common divisor of numbers 285, 780, 729, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 780, 729, 231 is 3.

1. What is the GCD of 285, 780, 729, 231?

GCD of given numbers 285, 780, 729, 231 is 3

2. How to calculate the greatest common divisor of 285, 780, 729, 231?

We can find the highest common divisor of 285, 780, 729, 231 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 285, 780, 729, 231 i.e 3.

3. How can I use the GCD of 285, 780, 729, 231Calculator?

Out the numbers 285, 780, 729, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.