Online GCD Calculator is useful to find the GCD of 271, 123, 131, 288 quickly. Get the easiest ways to solve the greatest common divisor of 271, 123, 131, 288 i.e 1 in different methods as follows.
Given Input numbers are 271, 123, 131, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (271, 123, 131, 288) = 1.
Given numbers are 271, 123, 131, 288
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 123 are 3 x 41
Prime factors of 131 are 131
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 123, 131, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 123) = 33333
GCD(271, 123) = ( 271 x 123 ) / 33333
= 271 / 123
= 271
Step2:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 271, 123, 131, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 123, 131, 288
The greatest common divisor of numbers 271, 123, 131, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 123, 131, 288 is 1.
1. What is the GCD of 271, 123, 131, 288?
GCD of given numbers 271, 123, 131, 288 is 1
2. How to calculate the greatest common divisor of 271, 123, 131, 288?
We can find the highest common divisor of 271, 123, 131, 288 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 271, 123, 131, 288 i.e 1.
3. How can I use the GCD of 271, 123, 131, 288Calculator?
Out the numbers 271, 123, 131, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.