GCD of 243, 273, 144, 363 Calculator

Given Input numbers are 243, 273, 144, 363

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (243, 273, 144, 363) = 3.

Given numbers are 243, 273, 144, 363

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 273 are 3 x 7 x 13

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

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 243, 273, 144, 363 is 3.

Given numbers are 243, 273, 144, 363

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

Apply this formula for all numbers.

Step1:

LCM(243, 273) = 22113

GCD(243, 273) = ( 243 x 273 ) / 22113

= 243 / 273

= 243

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

Step3:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

So, Greatest Common Divisor of 243, 273, 144, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 272, 424, 426
• GCD of 288, 311, 806, 782
• GCD of 507, 814, 485, 314
• GCD of 595, 966, 548, 968
• GCD of 986, 632, 187, 849

Given numbers are 243, 273, 144, 363
The greatest common divisor of numbers 243, 273, 144, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 273, 144, 363 is 3.

1. What is the GCD of 243, 273, 144, 363?

GCD of given numbers 243, 273, 144, 363 is 3

2. How to calculate the greatest common divisor of 243, 273, 144, 363?

We can find the highest common divisor of 243, 273, 144, 363 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, 273, 144, 363 i.e 3.

3. How can I use the GCD of 243, 273, 144, 363Calculator?

Out the numbers 243, 273, 144, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.