Online GCD Calculator is useful to find the GCD of 209, 891, 689 quickly. Get the easiest ways to solve the greatest common divisor of 209, 891, 689 i.e 1 in different methods as follows.
Given Input numbers are 209, 891, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (209, 891, 689) = 1.
Given numbers are 209, 891, 689
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 891, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 891) = 16929
GCD(209, 891) = ( 209 x 891 ) / 16929
= 209 / 891
= 209
Step2:
LCM(11, 689) = 7579
GCD(11, 689) = ( 11 x 689 ) / 7579
= 11 / 689
= 11
So, Greatest Common Divisor of 209, 891, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 891, 689
The greatest common divisor of numbers 209, 891, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 891, 689 is 1.
1. What is the GCD of 209, 891, 689?
GCD of given numbers 209, 891, 689 is 1
2. How to calculate the greatest common divisor of 209, 891, 689?
We can find the highest common divisor of 209, 891, 689 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 209, 891, 689 i.e 1.
3. How can I use the GCD of 209, 891, 689Calculator?
Out the numbers 209, 891, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.