Online GCD Calculator is useful to find the GCD of 917, 204, 189, 165 quickly. Get the easiest ways to solve the greatest common divisor of 917, 204, 189, 165 i.e 1 in different methods as follows.
Given Input numbers are 917, 204, 189, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (917, 204, 189, 165) = 1.
Given numbers are 917, 204, 189, 165
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 917, 204, 189, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 204) = 187068
GCD(917, 204) = ( 917 x 204 ) / 187068
= 917 / 204
= 917
Step2:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 917, 204, 189, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 204, 189, 165
The greatest common divisor of numbers 917, 204, 189, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 204, 189, 165 is 1.
1. What is the GCD of 917, 204, 189, 165?
GCD of given numbers 917, 204, 189, 165 is 1
2. How to calculate the greatest common divisor of 917, 204, 189, 165?
We can find the highest common divisor of 917, 204, 189, 165 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 917, 204, 189, 165 i.e 1.
3. How can I use the GCD of 917, 204, 189, 165Calculator?
Out the numbers 917, 204, 189, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.