Online GCD Calculator is useful to find the GCD of 189, 321, 273, 246 quickly. Get the easiest ways to solve the greatest common divisor of 189, 321, 273, 246 i.e 3 in different methods as follows.
Given Input numbers are 189, 321, 273, 246
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 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
GCD of numbers is the greatest common divisor
So, the GCD (189, 321, 273, 246) = 3.
Given numbers are 189, 321, 273, 246
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 321 are 3 x 107
Prime factors of 273 are 3 x 7 x 13
Prime factors of 246 are 2 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 189, 321, 273, 246 is 3.
Given numbers are 189, 321, 273, 246
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 321) = 20223
GCD(189, 321) = ( 189 x 321 ) / 20223
= 189 / 321
= 189
Step2:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
Step3:
LCM(3, 246) = 246
GCD(3, 246) = ( 3 x 246 ) / 246
= 3 / 246
= 3
So, Greatest Common Divisor of 189, 321, 273, 246 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 321, 273, 246
The greatest common divisor of numbers 189, 321, 273, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 321, 273, 246 is 3.
1. What is the GCD of 189, 321, 273, 246?
GCD of given numbers 189, 321, 273, 246 is 3
2. How to calculate the greatest common divisor of 189, 321, 273, 246?
We can find the highest common divisor of 189, 321, 273, 246 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, 321, 273, 246 i.e 3.
3. How can I use the GCD of 189, 321, 273, 246Calculator?
Out the numbers 189, 321, 273, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.