Online GCD Calculator is useful to find the GCD of 188, 412, 822, 382 quickly. Get the easiest ways to solve the greatest common divisor of 188, 412, 822, 382 i.e 2 in different methods as follows.
Given Input numbers are 188, 412, 822, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
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 (188, 412, 822, 382) = 2.
Given numbers are 188, 412, 822, 382
The list of prime factors of all numbers are
Prime factors of 188 are 2 x 2 x 47
Prime factors of 412 are 2 x 2 x 103
Prime factors of 822 are 2 x 3 x 137
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 188, 412, 822, 382 is 2.
Given numbers are 188, 412, 822, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(188, 412) = 19364
GCD(188, 412) = ( 188 x 412 ) / 19364
= 188 / 412
= 188
Step2:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 188, 412, 822, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 188, 412, 822, 382
The greatest common divisor of numbers 188, 412, 822, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 412, 822, 382 is 2.
1. What is the GCD of 188, 412, 822, 382?
GCD of given numbers 188, 412, 822, 382 is 2
2. How to calculate the greatest common divisor of 188, 412, 822, 382?
We can find the highest common divisor of 188, 412, 822, 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 188, 412, 822, 382 i.e 2.
3. How can I use the GCD of 188, 412, 822, 382Calculator?
Out the numbers 188, 412, 822, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.