Online GCD Calculator is useful to find the GCD of 996, 654, 620, 966 quickly. Get the easiest ways to solve the greatest common divisor of 996, 654, 620, 966 i.e 2 in different methods as follows.
Given Input numbers are 996, 654, 620, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
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 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 (996, 654, 620, 966) = 2.
Given numbers are 996, 654, 620, 966
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 654 are 2 x 3 x 109
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 996, 654, 620, 966 is 2.
Given numbers are 996, 654, 620, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 654) = 108564
GCD(996, 654) = ( 996 x 654 ) / 108564
= 996 / 654
= 996
Step2:
LCM(6, 620) = 1860
GCD(6, 620) = ( 6 x 620 ) / 1860
= 6 / 620
= 6
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 996, 654, 620, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 654, 620, 966
The greatest common divisor of numbers 996, 654, 620, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 654, 620, 966 is 2.
1. What is the GCD of 996, 654, 620, 966?
GCD of given numbers 996, 654, 620, 966 is 2
2. How to calculate the greatest common divisor of 996, 654, 620, 966?
We can find the highest common divisor of 996, 654, 620, 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 996, 654, 620, 966 i.e 2.
3. How can I use the GCD of 996, 654, 620, 966Calculator?
Out the numbers 996, 654, 620, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.