Online GCD Calculator is useful to find the GCD of 165, 447, 564, 564 quickly. Get the easiest ways to solve the greatest common divisor of 165, 447, 564, 564 i.e 3 in different methods as follows.
Given Input numbers are 165, 447, 564, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (165, 447, 564, 564) = 3.
Given numbers are 165, 447, 564, 564
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 447 are 3 x 149
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 165, 447, 564, 564 is 3.
Given numbers are 165, 447, 564, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 447) = 24585
GCD(165, 447) = ( 165 x 447 ) / 24585
= 165 / 447
= 165
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 165, 447, 564, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 447, 564, 564
The greatest common divisor of numbers 165, 447, 564, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 447, 564, 564 is 3.
1. What is the GCD of 165, 447, 564, 564?
GCD of given numbers 165, 447, 564, 564 is 3
2. How to calculate the greatest common divisor of 165, 447, 564, 564?
We can find the highest common divisor of 165, 447, 564, 564 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 165, 447, 564, 564 i.e 3.
3. How can I use the GCD of 165, 447, 564, 564Calculator?
Out the numbers 165, 447, 564, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.