Online GCD Calculator is useful to find the GCD of 171, 270, 323, 271 quickly. Get the easiest ways to solve the greatest common divisor of 171, 270, 323, 271 i.e 1 in different methods as follows.
Given Input numbers are 171, 270, 323, 271
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
GCD of numbers is the greatest common divisor
So, the GCD (171, 270, 323, 271) = 1.
Given numbers are 171, 270, 323, 271
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 323 are 17 x 19
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 171, 270, 323, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 270) = 5130
GCD(171, 270) = ( 171 x 270 ) / 5130
= 171 / 270
= 171
Step2:
LCM(9, 323) = 2907
GCD(9, 323) = ( 9 x 323 ) / 2907
= 9 / 323
= 9
Step3:
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
= 1 / 271
= 1
So, Greatest Common Divisor of 171, 270, 323, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 171, 270, 323, 271
The greatest common divisor of numbers 171, 270, 323, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 270, 323, 271 is 1.
1. What is the GCD of 171, 270, 323, 271?
GCD of given numbers 171, 270, 323, 271 is 1
2. How to calculate the greatest common divisor of 171, 270, 323, 271?
We can find the highest common divisor of 171, 270, 323, 271 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 171, 270, 323, 271 i.e 1.
3. How can I use the GCD of 171, 270, 323, 271Calculator?
Out the numbers 171, 270, 323, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.