GCD of 144, 108, 297, 135 Calculator

Given Input numbers are 144, 108, 297, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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 (144, 108, 297, 135) = 9.

Given numbers are 144, 108, 297, 135

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3²

Therefore, GCD of 144, 108, 297, 135 is 9.

Given numbers are 144, 108, 297, 135

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(144, 108) = 432

GCD(144, 108) = ( 144 x 108 ) / 432

= 144 / 108

= 144

Step2:

LCM(36, 297) = 1188

GCD(36, 297) = ( 36 x 297 ) / 1188

= 36 / 297

= 36

Step3:

LCM(9, 135) = 135

GCD(9, 135) = ( 9 x 135 ) / 135

= 9 / 135

= 9

So, Greatest Common Divisor of 144, 108, 297, 135 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 443, 417, 501
• GCD of 202, 849, 534, 780
• GCD of 940, 150, 985, 437
• GCD of 328, 256, 162, 681
• GCD of 132, 103, 403, 884

Given numbers are 144, 108, 297, 135
The greatest common divisor of numbers 144, 108, 297, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 108, 297, 135 is 9.

1. What is the GCD of 144, 108, 297, 135?

GCD of given numbers 144, 108, 297, 135 is 9

2. How to calculate the greatest common divisor of 144, 108, 297, 135?

We can find the highest common divisor of 144, 108, 297, 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 144, 108, 297, 135 i.e 9.

3. How can I use the GCD of 144, 108, 297, 135Calculator?

Out the numbers 144, 108, 297, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.