Online GCD Calculator is useful to find the GCD of 690, 589, 171 quickly. Get the easiest ways to solve the greatest common divisor of 690, 589, 171 i.e 1 in different methods as follows.
Given Input numbers are 690, 589, 171
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (690, 589, 171) = 1.
Given numbers are 690, 589, 171
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 589 are 19 x 31
Prime factors of 171 are 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 589, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 589) = 406410
GCD(690, 589) = ( 690 x 589 ) / 406410
= 690 / 589
= 690
Step2:
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
= 1 / 171
= 1
So, Greatest Common Divisor of 690, 589, 171 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 589, 171
The greatest common divisor of numbers 690, 589, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 589, 171 is 1.
1. What is the GCD of 690, 589, 171?
GCD of given numbers 690, 589, 171 is 1
2. How to calculate the greatest common divisor of 690, 589, 171?
We can find the highest common divisor of 690, 589, 171 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 690, 589, 171 i.e 1.
3. How can I use the GCD of 690, 589, 171Calculator?
Out the numbers 690, 589, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.