GCD of 189, 218, 449, 729 Calculator

Given Input numbers are 189, 218, 449, 729

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

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 (189, 218, 449, 729) = 1.

Given numbers are 189, 218, 449, 729

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 218 are 2 x 109

Prime factors of 449 are 449

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 189, 218, 449, 729

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

Apply this formula for all numbers.

Step1:

LCM(189, 218) = 41202

GCD(189, 218) = ( 189 x 218 ) / 41202

= 189 / 218

= 189

Step2:

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

= 1 / 449

= 1

Step3:

LCM(1, 729) = 729

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

= 1 / 729

= 1

So, Greatest Common Divisor of 189, 218, 449, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 359, 685, 136
• GCD of 601, 840, 301, 888
• GCD of 592, 718, 785, 897
• GCD of 465, 101, 623, 718
• GCD of 985, 492, 188, 320

Given numbers are 189, 218, 449, 729
The greatest common divisor of numbers 189, 218, 449, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 218, 449, 729 is 1.

1. What is the GCD of 189, 218, 449, 729?

GCD of given numbers 189, 218, 449, 729 is 1

2. How to calculate the greatest common divisor of 189, 218, 449, 729?

We can find the highest common divisor of 189, 218, 449, 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 189, 218, 449, 729 i.e 1.

3. How can I use the GCD of 189, 218, 449, 729Calculator?

Out the numbers 189, 218, 449, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.