Online GCD Calculator is useful to find the GCD of 822, 412, 984, 126 quickly. Get the easiest ways to solve the greatest common divisor of 822, 412, 984, 126 i.e 2 in different methods as follows.
Given Input numbers are 822, 412, 984, 126
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 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (822, 412, 984, 126) = 2.
Given numbers are 822, 412, 984, 126
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 412 are 2 x 2 x 103
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 822, 412, 984, 126 is 2.
Given numbers are 822, 412, 984, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 412) = 169332
GCD(822, 412) = ( 822 x 412 ) / 169332
= 822 / 412
= 822
Step2:
LCM(2, 984) = 984
GCD(2, 984) = ( 2 x 984 ) / 984
= 2 / 984
= 2
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 822, 412, 984, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 412, 984, 126
The greatest common divisor of numbers 822, 412, 984, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 412, 984, 126 is 2.
1. What is the GCD of 822, 412, 984, 126?
GCD of given numbers 822, 412, 984, 126 is 2
2. How to calculate the greatest common divisor of 822, 412, 984, 126?
We can find the highest common divisor of 822, 412, 984, 126 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, 412, 984, 126 i.e 2.
3. How can I use the GCD of 822, 412, 984, 126Calculator?
Out the numbers 822, 412, 984, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.