GCD of 344, 822, 729, 297 Calculator

Given Input numbers are 344, 822, 729, 297

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 729 :

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

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

GCD of numbers is the greatest common divisor

So, the GCD (344, 822, 729, 297) = 1.

Given numbers are 344, 822, 729, 297

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 822 are 2 x 3 x 137

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

Prime factors of 297 are 3 x 3 x 3 x 11

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

Given numbers are 344, 822, 729, 297

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

Apply this formula for all numbers.

Step1:

LCM(344, 822) = 141384

GCD(344, 822) = ( 344 x 822 ) / 141384

= 344 / 822

= 344

Step2:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

Step3:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

So, Greatest Common Divisor of 344, 822, 729, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 680, 819, 997
• GCD of 417, 944, 531, 205
• GCD of 777, 701, 951, 966
• GCD of 313, 812, 453, 850
• GCD of 871, 789, 327, 517

Given numbers are 344, 822, 729, 297
The greatest common divisor of numbers 344, 822, 729, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 822, 729, 297 is 1.

1. What is the GCD of 344, 822, 729, 297?

GCD of given numbers 344, 822, 729, 297 is 1

2. How to calculate the greatest common divisor of 344, 822, 729, 297?

We can find the highest common divisor of 344, 822, 729, 297 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 344, 822, 729, 297 i.e 1.

3. How can I use the GCD of 344, 822, 729, 297Calculator?

Out the numbers 344, 822, 729, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.