Online GCD Calculator is useful to find the GCD of 676, 582, 728, 796 quickly. Get the easiest ways to solve the greatest common divisor of 676, 582, 728, 796 i.e 2 in different methods as follows.
Given Input numbers are 676, 582, 728, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
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 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (676, 582, 728, 796) = 2.
Given numbers are 676, 582, 728, 796
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 582 are 2 x 3 x 97
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 676, 582, 728, 796 is 2.
Given numbers are 676, 582, 728, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 582) = 196716
GCD(676, 582) = ( 676 x 582 ) / 196716
= 676 / 582
= 676
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
So, Greatest Common Divisor of 676, 582, 728, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 582, 728, 796
The greatest common divisor of numbers 676, 582, 728, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 582, 728, 796 is 2.
1. What is the GCD of 676, 582, 728, 796?
GCD of given numbers 676, 582, 728, 796 is 2
2. How to calculate the greatest common divisor of 676, 582, 728, 796?
We can find the highest common divisor of 676, 582, 728, 796 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 676, 582, 728, 796 i.e 2.
3. How can I use the GCD of 676, 582, 728, 796Calculator?
Out the numbers 676, 582, 728, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.