Online GCD Calculator is useful to find the GCD of 622, 100, 966, 382 quickly. Get the easiest ways to solve the greatest common divisor of 622, 100, 966, 382 i.e 2 in different methods as follows.
Given Input numbers are 622, 100, 966, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (622, 100, 966, 382) = 2.
Given numbers are 622, 100, 966, 382
The list of prime factors of all numbers are
Prime factors of 622 are 2 x 311
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 622, 100, 966, 382 is 2.
Given numbers are 622, 100, 966, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(622, 100) = 31100
GCD(622, 100) = ( 622 x 100 ) / 31100
= 622 / 100
= 622
Step2:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 622, 100, 966, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 622, 100, 966, 382
The greatest common divisor of numbers 622, 100, 966, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 622, 100, 966, 382 is 2.
1. What is the GCD of 622, 100, 966, 382?
GCD of given numbers 622, 100, 966, 382 is 2
2. How to calculate the greatest common divisor of 622, 100, 966, 382?
We can find the highest common divisor of 622, 100, 966, 382 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 622, 100, 966, 382 i.e 2.
3. How can I use the GCD of 622, 100, 966, 382Calculator?
Out the numbers 622, 100, 966, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.