Online GCD Calculator is useful to find the GCD of 822, 780, 824, 382 quickly. Get the easiest ways to solve the greatest common divisor of 822, 780, 824, 382 i.e 2 in different methods as follows.
Given Input numbers are 822, 780, 824, 382
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (822, 780, 824, 382) = 2.
Given numbers are 822, 780, 824, 382
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 822, 780, 824, 382 is 2.
Given numbers are 822, 780, 824, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 780) = 106860
GCD(822, 780) = ( 822 x 780 ) / 106860
= 822 / 780
= 822
Step2:
LCM(6, 824) = 2472
GCD(6, 824) = ( 6 x 824 ) / 2472
= 6 / 824
= 6
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 822, 780, 824, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 780, 824, 382
The greatest common divisor of numbers 822, 780, 824, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 780, 824, 382 is 2.
1. What is the GCD of 822, 780, 824, 382?
GCD of given numbers 822, 780, 824, 382 is 2
2. How to calculate the greatest common divisor of 822, 780, 824, 382?
We can find the highest common divisor of 822, 780, 824, 382 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, 780, 824, 382 i.e 2.
3. How can I use the GCD of 822, 780, 824, 382Calculator?
Out the numbers 822, 780, 824, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.