Online GCD Calculator is useful to find the GCD of 834, 640, 780, 822 quickly. Get the easiest ways to solve the greatest common divisor of 834, 640, 780, 822 i.e 2 in different methods as follows.
Given Input numbers are 834, 640, 780, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
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 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 (834, 640, 780, 822) = 2.
Given numbers are 834, 640, 780, 822
The list of prime factors of all numbers are
Prime factors of 834 are 2 x 3 x 139
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 834, 640, 780, 822 is 2.
Given numbers are 834, 640, 780, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(834, 640) = 266880
GCD(834, 640) = ( 834 x 640 ) / 266880
= 834 / 640
= 834
Step2:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
Step3:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
So, Greatest Common Divisor of 834, 640, 780, 822 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 834, 640, 780, 822
The greatest common divisor of numbers 834, 640, 780, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 640, 780, 822 is 2.
1. What is the GCD of 834, 640, 780, 822?
GCD of given numbers 834, 640, 780, 822 is 2
2. How to calculate the greatest common divisor of 834, 640, 780, 822?
We can find the highest common divisor of 834, 640, 780, 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 834, 640, 780, 822 i.e 2.
3. How can I use the GCD of 834, 640, 780, 822Calculator?
Out the numbers 834, 640, 780, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.