Online GCD Calculator is useful to find the GCD of 506, 266, 966 quickly. Get the easiest ways to solve the greatest common divisor of 506, 266, 966 i.e 2 in different methods as follows.
Given Input numbers are 506, 266, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
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 (506, 266, 966) = 2.
Given numbers are 506, 266, 966
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 266 are 2 x 7 x 19
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 506, 266, 966 is 2.
Given numbers are 506, 266, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 266) = 67298
GCD(506, 266) = ( 506 x 266 ) / 67298
= 506 / 266
= 506
Step2:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 506, 266, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 266, 966
The greatest common divisor of numbers 506, 266, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 266, 966 is 2.
1. What is the GCD of 506, 266, 966?
GCD of given numbers 506, 266, 966 is 2
2. How to calculate the greatest common divisor of 506, 266, 966?
We can find the highest common divisor of 506, 266, 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 506, 266, 966 i.e 2.
3. How can I use the GCD of 506, 266, 966Calculator?
Out the numbers 506, 266, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.