Online GCD Calculator is useful to find the GCD of 812, 822, 630, 428 quickly. Get the easiest ways to solve the greatest common divisor of 812, 822, 630, 428 i.e 2 in different methods as follows.
Given Input numbers are 812, 822, 630, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (812, 822, 630, 428) = 2.
Given numbers are 812, 822, 630, 428
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 822 are 2 x 3 x 137
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 812, 822, 630, 428 is 2.
Given numbers are 812, 822, 630, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 822) = 333732
GCD(812, 822) = ( 812 x 822 ) / 333732
= 812 / 822
= 812
Step2:
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
= 2 / 630
= 2
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 812, 822, 630, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 822, 630, 428
The greatest common divisor of numbers 812, 822, 630, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 822, 630, 428 is 2.
1. What is the GCD of 812, 822, 630, 428?
GCD of given numbers 812, 822, 630, 428 is 2
2. How to calculate the greatest common divisor of 812, 822, 630, 428?
We can find the highest common divisor of 812, 822, 630, 428 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 812, 822, 630, 428 i.e 2.
3. How can I use the GCD of 812, 822, 630, 428Calculator?
Out the numbers 812, 822, 630, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.