Online GCD Calculator is useful to find the GCD of 822, 334, 728, 584 quickly. Get the easiest ways to solve the greatest common divisor of 822, 334, 728, 584 i.e 2 in different methods as follows.
Given Input numbers are 822, 334, 728, 584
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 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (822, 334, 728, 584) = 2.
Given numbers are 822, 334, 728, 584
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 334 are 2 x 167
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 822, 334, 728, 584 is 2.
Given numbers are 822, 334, 728, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 334) = 137274
GCD(822, 334) = ( 822 x 334 ) / 137274
= 822 / 334
= 822
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 584) = 584
GCD(2, 584) = ( 2 x 584 ) / 584
= 2 / 584
= 2
So, Greatest Common Divisor of 822, 334, 728, 584 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 334, 728, 584
The greatest common divisor of numbers 822, 334, 728, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 334, 728, 584 is 2.
1. What is the GCD of 822, 334, 728, 584?
GCD of given numbers 822, 334, 728, 584 is 2
2. How to calculate the greatest common divisor of 822, 334, 728, 584?
We can find the highest common divisor of 822, 334, 728, 584 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, 334, 728, 584 i.e 2.
3. How can I use the GCD of 822, 334, 728, 584Calculator?
Out the numbers 822, 334, 728, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.