GCD of 339, 312, 729, 658 Calculator

Given Input numbers are 339, 312, 729, 658

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 729 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (339, 312, 729, 658) = 1.

Given numbers are 339, 312, 729, 658

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 658 are 2 x 7 x 47

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

Given numbers are 339, 312, 729, 658

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

Apply this formula for all numbers.

Step1:

LCM(339, 312) = 35256

GCD(339, 312) = ( 339 x 312 ) / 35256

= 339 / 312

= 339

Step2:

LCM(3, 729) = 729

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

= 3 / 729

= 3

Step3:

LCM(3, 658) = 1974

GCD(3, 658) = ( 3 x 658 ) / 1974

= 3 / 658

= 3

So, Greatest Common Divisor of 339, 312, 729, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 629, 834, 412
• GCD of 902, 466, 991, 477
• GCD of 633, 436, 990, 489
• GCD of 435, 732, 923, 395
• GCD of 327, 110, 410, 394

Given numbers are 339, 312, 729, 658
The greatest common divisor of numbers 339, 312, 729, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 312, 729, 658 is 1.

1. What is the GCD of 339, 312, 729, 658?

GCD of given numbers 339, 312, 729, 658 is 1

2. How to calculate the greatest common divisor of 339, 312, 729, 658?

We can find the highest common divisor of 339, 312, 729, 658 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 339, 312, 729, 658 i.e 1.

3. How can I use the GCD of 339, 312, 729, 658Calculator?

Out the numbers 339, 312, 729, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.