Online GCD Calculator is useful to find the GCD of 966, 216, 514, 628 quickly. Get the easiest ways to solve the greatest common divisor of 966, 216, 514, 628 i.e 2 in different methods as follows.
Given Input numbers are 966, 216, 514, 628
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 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 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (966, 216, 514, 628) = 2.
Given numbers are 966, 216, 514, 628
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 514 are 2 x 257
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 966, 216, 514, 628 is 2.
Given numbers are 966, 216, 514, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 216) = 34776
GCD(966, 216) = ( 966 x 216 ) / 34776
= 966 / 216
= 966
Step2:
LCM(6, 514) = 1542
GCD(6, 514) = ( 6 x 514 ) / 1542
= 6 / 514
= 6
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 966, 216, 514, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 216, 514, 628
The greatest common divisor of numbers 966, 216, 514, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 216, 514, 628 is 2.
1. What is the GCD of 966, 216, 514, 628?
GCD of given numbers 966, 216, 514, 628 is 2
2. How to calculate the greatest common divisor of 966, 216, 514, 628?
We can find the highest common divisor of 966, 216, 514, 628 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, 216, 514, 628 i.e 2.
3. How can I use the GCD of 966, 216, 514, 628Calculator?
Out the numbers 966, 216, 514, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.