Online GCD Calculator is useful to find the GCD of 119, 288, 216, 135 quickly. Get the easiest ways to solve the greatest common divisor of 119, 288, 216, 135 i.e 1 in different methods as follows.
Given Input numbers are 119, 288, 216, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
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
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (119, 288, 216, 135) = 1.
Given numbers are 119, 288, 216, 135
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 119, 288, 216, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 288) = 34272
GCD(119, 288) = ( 119 x 288 ) / 34272
= 119 / 288
= 119
Step2:
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
= 1 / 216
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 119, 288, 216, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 119, 288, 216, 135
The greatest common divisor of numbers 119, 288, 216, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 288, 216, 135 is 1.
1. What is the GCD of 119, 288, 216, 135?
GCD of given numbers 119, 288, 216, 135 is 1
2. How to calculate the greatest common divisor of 119, 288, 216, 135?
We can find the highest common divisor of 119, 288, 216, 135 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 119, 288, 216, 135 i.e 1.
3. How can I use the GCD of 119, 288, 216, 135Calculator?
Out the numbers 119, 288, 216, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.