Online GCD Calculator is useful to find the GCD of 620, 706, 816, 966 quickly. Get the easiest ways to solve the greatest common divisor of 620, 706, 816, 966 i.e 2 in different methods as follows.
Given Input numbers are 620, 706, 816, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
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 (620, 706, 816, 966) = 2.
Given numbers are 620, 706, 816, 966
The list of prime factors of all numbers are
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 706 are 2 x 353
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 620, 706, 816, 966 is 2.
Given numbers are 620, 706, 816, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(620, 706) = 218860
GCD(620, 706) = ( 620 x 706 ) / 218860
= 620 / 706
= 620
Step2:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 620, 706, 816, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 620, 706, 816, 966
The greatest common divisor of numbers 620, 706, 816, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 706, 816, 966 is 2.
1. What is the GCD of 620, 706, 816, 966?
GCD of given numbers 620, 706, 816, 966 is 2
2. How to calculate the greatest common divisor of 620, 706, 816, 966?
We can find the highest common divisor of 620, 706, 816, 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 620, 706, 816, 966 i.e 2.
3. How can I use the GCD of 620, 706, 816, 966Calculator?
Out the numbers 620, 706, 816, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.