Online GCD Calculator is useful to find the GCD of 270, 417, 288 quickly. Get the easiest ways to solve the greatest common divisor of 270, 417, 288 i.e 3 in different methods as follows.
Given Input numbers are 270, 417, 288
In the factoring method, we have to find the divisors of all numbers
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 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
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 (270, 417, 288) = 3.
Given numbers are 270, 417, 288
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 417 are 3 x 139
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 270, 417, 288 is 3.
Given numbers are 270, 417, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 417) = 37530
GCD(270, 417) = ( 270 x 417 ) / 37530
= 270 / 417
= 270
Step2:
LCM(3, 288) = 288
GCD(3, 288) = ( 3 x 288 ) / 288
= 3 / 288
= 3
So, Greatest Common Divisor of 270, 417, 288 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 417, 288
The greatest common divisor of numbers 270, 417, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 417, 288 is 3.
1. What is the GCD of 270, 417, 288?
GCD of given numbers 270, 417, 288 is 3
2. How to calculate the greatest common divisor of 270, 417, 288?
We can find the highest common divisor of 270, 417, 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 270, 417, 288 i.e 3.
3. How can I use the GCD of 270, 417, 288Calculator?
Out the numbers 270, 417, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.