GCD of 338, 729, 664, 312 Calculator

Given Input numbers are 338, 729, 664, 312

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 729 :

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

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 729, 664, 312) = 1.

Given numbers are 338, 729, 664, 312

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 664 are 2 x 2 x 2 x 83

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

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

Given numbers are 338, 729, 664, 312

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

Apply this formula for all numbers.

Step1:

LCM(338, 729) = 246402

GCD(338, 729) = ( 338 x 729 ) / 246402

= 338 / 729

= 338

Step2:

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

= 1 / 664

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 338, 729, 664, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 634, 223, 646
• GCD of 319, 794, 214, 160
• GCD of 374, 137, 780, 338
• GCD of 567, 247, 251, 909
• GCD of 979, 599, 645, 584

Given numbers are 338, 729, 664, 312
The greatest common divisor of numbers 338, 729, 664, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 729, 664, 312 is 1.

1. What is the GCD of 338, 729, 664, 312?

GCD of given numbers 338, 729, 664, 312 is 1

2. How to calculate the greatest common divisor of 338, 729, 664, 312?

We can find the highest common divisor of 338, 729, 664, 312 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 338, 729, 664, 312 i.e 1.

3. How can I use the GCD of 338, 729, 664, 312Calculator?

Out the numbers 338, 729, 664, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.