Online GCD Calculator is useful to find the GCD of 459, 460, 270, 155 quickly. Get the easiest ways to solve the greatest common divisor of 459, 460, 270, 155 i.e 1 in different methods as follows.
Given Input numbers are 459, 460, 270, 155
In the factoring method, we have to find the divisors of all numbers
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
GCD of numbers is the greatest common divisor
So, the GCD (459, 460, 270, 155) = 1.
Given numbers are 459, 460, 270, 155
The list of prime factors of all numbers are
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 155 are 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 459, 460, 270, 155
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(459, 460) = 211140
GCD(459, 460) = ( 459 x 460 ) / 211140
= 459 / 460
= 459
Step2:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
Step3:
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
= 1 / 155
= 1
So, Greatest Common Divisor of 459, 460, 270, 155 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 459, 460, 270, 155
The greatest common divisor of numbers 459, 460, 270, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 460, 270, 155 is 1.
1. What is the GCD of 459, 460, 270, 155?
GCD of given numbers 459, 460, 270, 155 is 1
2. How to calculate the greatest common divisor of 459, 460, 270, 155?
We can find the highest common divisor of 459, 460, 270, 155 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 459, 460, 270, 155 i.e 1.
3. How can I use the GCD of 459, 460, 270, 155Calculator?
Out the numbers 459, 460, 270, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.