GCD of 806, 345, 198, 729 Calculator

Given Input numbers are 806, 345, 198, 729

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

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (806, 345, 198, 729) = 1.

Given numbers are 806, 345, 198, 729

The list of prime factors of all numbers are

Prime factors of 806 are 2 x 13 x 31

Prime factors of 345 are 3 x 5 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

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

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

Given numbers are 806, 345, 198, 729

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

Apply this formula for all numbers.

Step1:

LCM(806, 345) = 278070

GCD(806, 345) = ( 806 x 345 ) / 278070

= 806 / 345

= 806

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 806, 345, 198, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 143, 961, 574
• GCD of 850, 656, 230, 241
• GCD of 244, 794, 558, 692
• GCD of 766, 829, 756, 778
• GCD of 196, 231, 456, 455

Given numbers are 806, 345, 198, 729
The greatest common divisor of numbers 806, 345, 198, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 806, 345, 198, 729 is 1.

1. What is the GCD of 806, 345, 198, 729?

GCD of given numbers 806, 345, 198, 729 is 1

2. How to calculate the greatest common divisor of 806, 345, 198, 729?

We can find the highest common divisor of 806, 345, 198, 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 806, 345, 198, 729 i.e 1.

3. How can I use the GCD of 806, 345, 198, 729Calculator?

Out the numbers 806, 345, 198, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.