Online GCD Calculator is useful to find the GCD of 338, 772, 730, 796 quickly. Get the easiest ways to solve the greatest common divisor of 338, 772, 730, 796 i.e 2 in different methods as follows.
Given Input numbers are 338, 772, 730, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
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 (338, 772, 730, 796) = 2.
Given numbers are 338, 772, 730, 796
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 772 are 2 x 2 x 193
Prime factors of 730 are 2 x 5 x 73
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 21
Therefore, GCD of 338, 772, 730, 796 is 2.
Given numbers are 338, 772, 730, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 772) = 130468
GCD(338, 772) = ( 338 x 772 ) / 130468
= 338 / 772
= 338
Step2:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
Step3:
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
= 2 / 796
= 2
So, Greatest Common Divisor of 338, 772, 730, 796 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 772, 730, 796
The greatest common divisor of numbers 338, 772, 730, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 772, 730, 796 is 2.
1. What is the GCD of 338, 772, 730, 796?
GCD of given numbers 338, 772, 730, 796 is 2
2. How to calculate the greatest common divisor of 338, 772, 730, 796?
We can find the highest common divisor of 338, 772, 730, 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 338, 772, 730, 796 i.e 2.
3. How can I use the GCD of 338, 772, 730, 796Calculator?
Out the numbers 338, 772, 730, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.