Online GCD Calculator is useful to find the GCD of 668, 200, 966, 822 quickly. Get the easiest ways to solve the greatest common divisor of 668, 200, 966, 822 i.e 2 in different methods as follows.
Given Input numbers are 668, 200, 966, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (668, 200, 966, 822) = 2.
Given numbers are 668, 200, 966, 822
The list of prime factors of all numbers are
Prime factors of 668 are 2 x 2 x 167
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 668, 200, 966, 822 is 2.
Given numbers are 668, 200, 966, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(668, 200) = 33400
GCD(668, 200) = ( 668 x 200 ) / 33400
= 668 / 200
= 668
Step2:
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
= 4 / 966
= 4
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 668, 200, 966, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 668, 200, 966, 822
The greatest common divisor of numbers 668, 200, 966, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 200, 966, 822 is 2.
1. What is the GCD of 668, 200, 966, 822?
GCD of given numbers 668, 200, 966, 822 is 2
2. How to calculate the greatest common divisor of 668, 200, 966, 822?
We can find the highest common divisor of 668, 200, 966, 822 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 668, 200, 966, 822 i.e 2.
3. How can I use the GCD of 668, 200, 966, 822Calculator?
Out the numbers 668, 200, 966, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.