Online GCD Calculator is useful to find the GCD of 189, 324, 273 quickly. Get the easiest ways to solve the greatest common divisor of 189, 324, 273 i.e 3 in different methods as follows.
Given Input numbers are 189, 324, 273
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 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (189, 324, 273) = 3.
Given numbers are 189, 324, 273
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 273 are 3 x 7 x 13
The highest common occurrence is 31
Therefore, GCD of 189, 324, 273 is 3.
Given numbers are 189, 324, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 324) = 2268
GCD(189, 324) = ( 189 x 324 ) / 2268
= 189 / 324
= 189
Step2:
LCM(27, 273) = 2457
GCD(27, 273) = ( 27 x 273 ) / 2457
= 27 / 273
= 27
So, Greatest Common Divisor of 189, 324, 273 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 324, 273
The greatest common divisor of numbers 189, 324, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 324, 273 is 3.
1. What is the GCD of 189, 324, 273?
GCD of given numbers 189, 324, 273 is 3
2. How to calculate the greatest common divisor of 189, 324, 273?
We can find the highest common divisor of 189, 324, 273 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, 324, 273 i.e 3.
3. How can I use the GCD of 189, 324, 273Calculator?
Out the numbers 189, 324, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.