Online GCD Calculator is useful to find the GCD of 728, 967, 405, 680 quickly. Get the easiest ways to solve the greatest common divisor of 728, 967, 405, 680 i.e 1 in different methods as follows.
Given Input numbers are 728, 967, 405, 680
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 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (728, 967, 405, 680) = 1.
Given numbers are 728, 967, 405, 680
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 967 are 967
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 967, 405, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 967) = 703976
GCD(728, 967) = ( 728 x 967 ) / 703976
= 728 / 967
= 728
Step2:
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
= 1 / 405
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 728, 967, 405, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 967, 405, 680
The greatest common divisor of numbers 728, 967, 405, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 967, 405, 680 is 1.
1. What is the GCD of 728, 967, 405, 680?
GCD of given numbers 728, 967, 405, 680 is 1
2. How to calculate the greatest common divisor of 728, 967, 405, 680?
We can find the highest common divisor of 728, 967, 405, 680 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, 967, 405, 680 i.e 1.
3. How can I use the GCD of 728, 967, 405, 680Calculator?
Out the numbers 728, 967, 405, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.