Online GCD Calculator is useful to find the GCD of 326, 378, 822, 212 quickly. Get the easiest ways to solve the greatest common divisor of 326, 378, 822, 212 i.e 2 in different methods as follows.
Given Input numbers are 326, 378, 822, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (326, 378, 822, 212) = 2.
Given numbers are 326, 378, 822, 212
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 822 are 2 x 3 x 137
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 326, 378, 822, 212 is 2.
Given numbers are 326, 378, 822, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 378) = 61614
GCD(326, 378) = ( 326 x 378 ) / 61614
= 326 / 378
= 326
Step2:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 326, 378, 822, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 378, 822, 212
The greatest common divisor of numbers 326, 378, 822, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 378, 822, 212 is 2.
1. What is the GCD of 326, 378, 822, 212?
GCD of given numbers 326, 378, 822, 212 is 2
2. How to calculate the greatest common divisor of 326, 378, 822, 212?
We can find the highest common divisor of 326, 378, 822, 212 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 326, 378, 822, 212 i.e 2.
3. How can I use the GCD of 326, 378, 822, 212Calculator?
Out the numbers 326, 378, 822, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.