GCD of 213, 339, 858, 729 Calculator

Given Input numbers are 213, 339, 858, 729

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (213, 339, 858, 729) = 3.

Given numbers are 213, 339, 858, 729

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 339 are 3 x 113

Prime factors of 858 are 2 x 3 x 11 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 213, 339, 858, 729 is 3.

Given numbers are 213, 339, 858, 729

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

Apply this formula for all numbers.

Step1:

LCM(213, 339) = 24069

GCD(213, 339) = ( 213 x 339 ) / 24069

= 213 / 339

= 213

Step2:

LCM(3, 858) = 858

GCD(3, 858) = ( 3 x 858 ) / 858

= 3 / 858

= 3

Step3:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

So, Greatest Common Divisor of 213, 339, 858, 729 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 191, 804, 818
• GCD of 244, 266, 937, 357
• GCD of 164, 598, 154, 815
• GCD of 110, 671, 298, 957
• GCD of 689, 796, 632, 433

Given numbers are 213, 339, 858, 729
The greatest common divisor of numbers 213, 339, 858, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 339, 858, 729 is 3.

1. What is the GCD of 213, 339, 858, 729?

GCD of given numbers 213, 339, 858, 729 is 3

2. How to calculate the greatest common divisor of 213, 339, 858, 729?

We can find the highest common divisor of 213, 339, 858, 729 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 213, 339, 858, 729 i.e 3.

3. How can I use the GCD of 213, 339, 858, 729Calculator?

Out the numbers 213, 339, 858, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.