Online GCD Calculator is useful to find the GCD of 689, 585, 397, 128 quickly. Get the easiest ways to solve the greatest common divisor of 689, 585, 397, 128 i.e 1 in different methods as follows.
Given Input numbers are 689, 585, 397, 128
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 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
GCD of numbers is the greatest common divisor
So, the GCD (689, 585, 397, 128) = 1.
Given numbers are 689, 585, 397, 128
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 397 are 397
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 585, 397, 128
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 585) = 31005
GCD(689, 585) = ( 689 x 585 ) / 31005
= 689 / 585
= 689
Step2:
LCM(13, 397) = 5161
GCD(13, 397) = ( 13 x 397 ) / 5161
= 13 / 397
= 13
Step3:
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
= 1 / 128
= 1
So, Greatest Common Divisor of 689, 585, 397, 128 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 585, 397, 128
The greatest common divisor of numbers 689, 585, 397, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 585, 397, 128 is 1.
1. What is the GCD of 689, 585, 397, 128?
GCD of given numbers 689, 585, 397, 128 is 1
2. How to calculate the greatest common divisor of 689, 585, 397, 128?
We can find the highest common divisor of 689, 585, 397, 128 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, 585, 397, 128 i.e 1.
3. How can I use the GCD of 689, 585, 397, 128Calculator?
Out the numbers 689, 585, 397, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.