Online GCD Calculator is useful to find the GCD of 966, 606, 216, 398 quickly. Get the easiest ways to solve the greatest common divisor of 966, 606, 216, 398 i.e 2 in different methods as follows.
Given Input numbers are 966, 606, 216, 398
In the factoring method, we have to find the divisors of all numbers
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (966, 606, 216, 398) = 2.
Given numbers are 966, 606, 216, 398
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 606 are 2 x 3 x 101
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 966, 606, 216, 398 is 2.
Given numbers are 966, 606, 216, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 606) = 97566
GCD(966, 606) = ( 966 x 606 ) / 97566
= 966 / 606
= 966
Step2:
LCM(6, 216) = 216
GCD(6, 216) = ( 6 x 216 ) / 216
= 6 / 216
= 6
Step3:
LCM(6, 398) = 1194
GCD(6, 398) = ( 6 x 398 ) / 1194
= 6 / 398
= 6
So, Greatest Common Divisor of 966, 606, 216, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 606, 216, 398
The greatest common divisor of numbers 966, 606, 216, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 606, 216, 398 is 2.
1. What is the GCD of 966, 606, 216, 398?
GCD of given numbers 966, 606, 216, 398 is 2
2. How to calculate the greatest common divisor of 966, 606, 216, 398?
We can find the highest common divisor of 966, 606, 216, 398 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 966, 606, 216, 398 i.e 2.
3. How can I use the GCD of 966, 606, 216, 398Calculator?
Out the numbers 966, 606, 216, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.