Online GCD Calculator is useful to find the GCD of 189, 660, 243, 579 quickly. Get the easiest ways to solve the greatest common divisor of 189, 660, 243, 579 i.e 3 in different methods as follows.
Given Input numbers are 189, 660, 243, 579
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
GCD of numbers is the greatest common divisor
So, the GCD (189, 660, 243, 579) = 3.
Given numbers are 189, 660, 243, 579
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 579 are 3 x 193
The highest common occurrence is 31
Therefore, GCD of 189, 660, 243, 579 is 3.
Given numbers are 189, 660, 243, 579
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 660) = 41580
GCD(189, 660) = ( 189 x 660 ) / 41580
= 189 / 660
= 189
Step2:
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
= 3 / 243
= 3
Step3:
LCM(3, 579) = 579
GCD(3, 579) = ( 3 x 579 ) / 579
= 3 / 579
= 3
So, Greatest Common Divisor of 189, 660, 243, 579 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 660, 243, 579
The greatest common divisor of numbers 189, 660, 243, 579 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 660, 243, 579 is 3.
1. What is the GCD of 189, 660, 243, 579?
GCD of given numbers 189, 660, 243, 579 is 3
2. How to calculate the greatest common divisor of 189, 660, 243, 579?
We can find the highest common divisor of 189, 660, 243, 579 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, 660, 243, 579 i.e 3.
3. How can I use the GCD of 189, 660, 243, 579Calculator?
Out the numbers 189, 660, 243, 579 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.