Online GCD Calculator is useful to find the GCD of 531, 132, 512, 966 quickly. Get the easiest ways to solve the greatest common divisor of 531, 132, 512, 966 i.e 1 in different methods as follows.
Given Input numbers are 531, 132, 512, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (531, 132, 512, 966) = 1.
Given numbers are 531, 132, 512, 966
The list of prime factors of all numbers are
Prime factors of 531 are 3 x 3 x 59
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 531, 132, 512, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(531, 132) = 23364
GCD(531, 132) = ( 531 x 132 ) / 23364
= 531 / 132
= 531
Step2:
LCM(3, 512) = 1536
GCD(3, 512) = ( 3 x 512 ) / 1536
= 3 / 512
= 3
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 531, 132, 512, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 531, 132, 512, 966
The greatest common divisor of numbers 531, 132, 512, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 132, 512, 966 is 1.
1. What is the GCD of 531, 132, 512, 966?
GCD of given numbers 531, 132, 512, 966 is 1
2. How to calculate the greatest common divisor of 531, 132, 512, 966?
We can find the highest common divisor of 531, 132, 512, 966 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 531, 132, 512, 966 i.e 1.
3. How can I use the GCD of 531, 132, 512, 966Calculator?
Out the numbers 531, 132, 512, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.