GCD of 243, 138, 459, 183 Calculator

Given Input numbers are 243, 138, 459, 183

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

GCD of numbers is the greatest common divisor

So, the GCD (243, 138, 459, 183) = 3.

Given numbers are 243, 138, 459, 183

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 138 are 2 x 3 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 183 are 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 243, 138, 459, 183 is 3.

Given numbers are 243, 138, 459, 183

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

Apply this formula for all numbers.

Step1:

LCM(243, 138) = 11178

GCD(243, 138) = ( 243 x 138 ) / 11178

= 243 / 138

= 243

Step2:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

Step3:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3

So, Greatest Common Divisor of 243, 138, 459, 183 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 247, 980, 704
• GCD of 694, 102, 436, 464
• GCD of 207, 144, 354, 831
• GCD of 150, 434, 749, 412
• GCD of 881, 359, 118, 217

Given numbers are 243, 138, 459, 183
The greatest common divisor of numbers 243, 138, 459, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 138, 459, 183 is 3.

1. What is the GCD of 243, 138, 459, 183?

GCD of given numbers 243, 138, 459, 183 is 3

2. How to calculate the greatest common divisor of 243, 138, 459, 183?

We can find the highest common divisor of 243, 138, 459, 183 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 243, 138, 459, 183 i.e 3.

3. How can I use the GCD of 243, 138, 459, 183Calculator?

Out the numbers 243, 138, 459, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.