Online GCD Calculator is useful to find the GCD of 822, 212, 378 quickly. Get the easiest ways to solve the greatest common divisor of 822, 212, 378 i.e 2 in different methods as follows.
Given Input numbers are 822, 212, 378
In the factoring method, we have to find the divisors of all numbers
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
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
GCD of numbers is the greatest common divisor
So, the GCD (822, 212, 378) = 2.
Given numbers are 822, 212, 378
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 212 are 2 x 2 x 53
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 822, 212, 378 is 2.
Given numbers are 822, 212, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 212) = 87132
GCD(822, 212) = ( 822 x 212 ) / 87132
= 822 / 212
= 822
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 822, 212, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 212, 378
The greatest common divisor of numbers 822, 212, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 212, 378 is 2.
1. What is the GCD of 822, 212, 378?
GCD of given numbers 822, 212, 378 is 2
2. How to calculate the greatest common divisor of 822, 212, 378?
We can find the highest common divisor of 822, 212, 378 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 822, 212, 378 i.e 2.
3. How can I use the GCD of 822, 212, 378Calculator?
Out the numbers 822, 212, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.