GCD of 119, 288, 216, 135 Calculator

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

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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.