Online GCD Calculator is useful to find the GCD of 689, 367, 405, 984 quickly. Get the easiest ways to solve the greatest common divisor of 689, 367, 405, 984 i.e 1 in different methods as follows.
Given Input numbers are 689, 367, 405, 984
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
GCD of numbers is the greatest common divisor
So, the GCD (689, 367, 405, 984) = 1.
Given numbers are 689, 367, 405, 984
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 367 are 367
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 367, 405, 984
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 367) = 252863
GCD(689, 367) = ( 689 x 367 ) / 252863
= 689 / 367
= 689
Step2:
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
= 1 / 405
= 1
Step3:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
So, Greatest Common Divisor of 689, 367, 405, 984 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 367, 405, 984
The greatest common divisor of numbers 689, 367, 405, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 367, 405, 984 is 1.
1. What is the GCD of 689, 367, 405, 984?
GCD of given numbers 689, 367, 405, 984 is 1
2. How to calculate the greatest common divisor of 689, 367, 405, 984?
We can find the highest common divisor of 689, 367, 405, 984 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 689, 367, 405, 984 i.e 1.
3. How can I use the GCD of 689, 367, 405, 984Calculator?
Out the numbers 689, 367, 405, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.