Online GCD Calculator is useful to find the GCD of 728, 308, 272, 359 quickly. Get the easiest ways to solve the greatest common divisor of 728, 308, 272, 359 i.e 1 in different methods as follows.
Given Input numbers are 728, 308, 272, 359
In the factoring method, we have to find the divisors of all numbers
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 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
GCD of numbers is the greatest common divisor
So, the GCD (728, 308, 272, 359) = 1.
Given numbers are 728, 308, 272, 359
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 359 are 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 308, 272, 359
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 308) = 8008
GCD(728, 308) = ( 728 x 308 ) / 8008
= 728 / 308
= 728
Step2:
LCM(28, 272) = 1904
GCD(28, 272) = ( 28 x 272 ) / 1904
= 28 / 272
= 28
Step3:
LCM(4, 359) = 1436
GCD(4, 359) = ( 4 x 359 ) / 1436
= 4 / 359
= 4
So, Greatest Common Divisor of 728, 308, 272, 359 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 308, 272, 359
The greatest common divisor of numbers 728, 308, 272, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 308, 272, 359 is 1.
1. What is the GCD of 728, 308, 272, 359?
GCD of given numbers 728, 308, 272, 359 is 1
2. How to calculate the greatest common divisor of 728, 308, 272, 359?
We can find the highest common divisor of 728, 308, 272, 359 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 728, 308, 272, 359 i.e 1.
3. How can I use the GCD of 728, 308, 272, 359Calculator?
Out the numbers 728, 308, 272, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.