Online GCD Calculator is useful to find the GCD of 828, 996, 822 quickly. Get the easiest ways to solve the greatest common divisor of 828, 996, 822 i.e 6 in different methods as follows.
Given Input numbers are 828, 996, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (828, 996, 822) = 6.
Given numbers are 828, 996, 822
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21 x 31
Therefore, GCD of 828, 996, 822 is 6.
Given numbers are 828, 996, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 996) = 68724
GCD(828, 996) = ( 828 x 996 ) / 68724
= 828 / 996
= 828
Step2:
LCM(12, 822) = 1644
GCD(12, 822) = ( 12 x 822 ) / 1644
= 12 / 822
= 12
So, Greatest Common Divisor of 828, 996, 822 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 996, 822
The greatest common divisor of numbers 828, 996, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 996, 822 is 6.
1. What is the GCD of 828, 996, 822?
GCD of given numbers 828, 996, 822 is 6
2. How to calculate the greatest common divisor of 828, 996, 822?
We can find the highest common divisor of 828, 996, 822 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 828, 996, 822 i.e 6.
3. How can I use the GCD of 828, 996, 822Calculator?
Out the numbers 828, 996, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.