Online GCD Calculator is useful to find the GCD of 243, 660, 564, 939 quickly. Get the easiest ways to solve the greatest common divisor of 243, 660, 564, 939 i.e 3 in different methods as follows.
Given Input numbers are 243, 660, 564, 939
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
GCD of numbers is the greatest common divisor
So, the GCD (243, 660, 564, 939) = 3.
Given numbers are 243, 660, 564, 939
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 939 are 3 x 313
The highest common occurrence is 31
Therefore, GCD of 243, 660, 564, 939 is 3.
Given numbers are 243, 660, 564, 939
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 660) = 53460
GCD(243, 660) = ( 243 x 660 ) / 53460
= 243 / 660
= 243
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
Step3:
LCM(3, 939) = 939
GCD(3, 939) = ( 3 x 939 ) / 939
= 3 / 939
= 3
So, Greatest Common Divisor of 243, 660, 564, 939 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 660, 564, 939
The greatest common divisor of numbers 243, 660, 564, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 660, 564, 939 is 3.
1. What is the GCD of 243, 660, 564, 939?
GCD of given numbers 243, 660, 564, 939 is 3
2. How to calculate the greatest common divisor of 243, 660, 564, 939?
We can find the highest common divisor of 243, 660, 564, 939 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 243, 660, 564, 939 i.e 3.
3. How can I use the GCD of 243, 660, 564, 939Calculator?
Out the numbers 243, 660, 564, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.