GCD of 549, 153, 729 Calculator

Given Input numbers are 549, 153, 729

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

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 (549, 153, 729) = 9.

Given numbers are 549, 153, 729

The list of prime factors of all numbers are

Prime factors of 549 are 3 x 3 x 61

Prime factors of 153 are 3 x 3 x 17

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

The highest common occurrence is 3²

Therefore, GCD of 549, 153, 729 is 9.

Given numbers are 549, 153, 729

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

Apply this formula for all numbers.

Step1:

LCM(549, 153) = 9333

GCD(549, 153) = ( 549 x 153 ) / 9333

= 549 / 153

= 549

Step2:

LCM(9, 729) = 729

GCD(9, 729) = ( 9 x 729 ) / 729

= 9 / 729

= 9

So, Greatest Common Divisor of 549, 153, 729 is 9

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Given numbers are 549, 153, 729
The greatest common divisor of numbers 549, 153, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 549, 153, 729 is 9.

1. What is the GCD of 549, 153, 729?

GCD of given numbers 549, 153, 729 is 9

2. How to calculate the greatest common divisor of 549, 153, 729?

We can find the highest common divisor of 549, 153, 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 549, 153, 729 i.e 9.

3. How can I use the GCD of 549, 153, 729Calculator?

Out the numbers 549, 153, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.