Online GCD Calculator is useful to find the GCD of 561, 327, 164, 264 quickly. Get the easiest ways to solve the greatest common divisor of 561, 327, 164, 264 i.e 1 in different methods as follows.
Given Input numbers are 561, 327, 164, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (561, 327, 164, 264) = 1.
Given numbers are 561, 327, 164, 264
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 327 are 3 x 109
Prime factors of 164 are 2 x 2 x 41
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 327, 164, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 327) = 61149
GCD(561, 327) = ( 561 x 327 ) / 61149
= 561 / 327
= 561
Step2:
LCM(3, 164) = 492
GCD(3, 164) = ( 3 x 164 ) / 492
= 3 / 164
= 3
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 561, 327, 164, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 327, 164, 264
The greatest common divisor of numbers 561, 327, 164, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 327, 164, 264 is 1.
1. What is the GCD of 561, 327, 164, 264?
GCD of given numbers 561, 327, 164, 264 is 1
2. How to calculate the greatest common divisor of 561, 327, 164, 264?
We can find the highest common divisor of 561, 327, 164, 264 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 561, 327, 164, 264 i.e 1.
3. How can I use the GCD of 561, 327, 164, 264Calculator?
Out the numbers 561, 327, 164, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.