Online GCD Calculator is useful to find the GCD of 338, 568, 728, 640 quickly. Get the easiest ways to solve the greatest common divisor of 338, 568, 728, 640 i.e 2 in different methods as follows.
Given Input numbers are 338, 568, 728, 640
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 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
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 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
GCD of numbers is the greatest common divisor
So, the GCD (338, 568, 728, 640) = 2.
Given numbers are 338, 568, 728, 640
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 338, 568, 728, 640 is 2.
Given numbers are 338, 568, 728, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 568) = 95992
GCD(338, 568) = ( 338 x 568 ) / 95992
= 338 / 568
= 338
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
So, Greatest Common Divisor of 338, 568, 728, 640 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 568, 728, 640
The greatest common divisor of numbers 338, 568, 728, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 568, 728, 640 is 2.
1. What is the GCD of 338, 568, 728, 640?
GCD of given numbers 338, 568, 728, 640 is 2
2. How to calculate the greatest common divisor of 338, 568, 728, 640?
We can find the highest common divisor of 338, 568, 728, 640 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, 568, 728, 640 i.e 2.
3. How can I use the GCD of 338, 568, 728, 640Calculator?
Out the numbers 338, 568, 728, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.