GCD of 864, 243, 273, 450 Calculator

Given Input numbers are 864, 243, 273, 450

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (864, 243, 273, 450) = 3.

Given numbers are 864, 243, 273, 450

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 864, 243, 273, 450 is 3.

Given numbers are 864, 243, 273, 450

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

Apply this formula for all numbers.

Step1:

LCM(864, 243) = 7776

GCD(864, 243) = ( 864 x 243 ) / 7776

= 864 / 243

= 864

Step2:

LCM(27, 273) = 2457

GCD(27, 273) = ( 27 x 273 ) / 2457

= 27 / 273

= 27

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 864, 243, 273, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 706, 171, 349
• GCD of 910, 192, 111, 450
• GCD of 841, 702, 927, 709
• GCD of 944, 476, 135, 238
• GCD of 165, 168, 188, 385

Given numbers are 864, 243, 273, 450
The greatest common divisor of numbers 864, 243, 273, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 243, 273, 450 is 3.

1. What is the GCD of 864, 243, 273, 450?

GCD of given numbers 864, 243, 273, 450 is 3

2. How to calculate the greatest common divisor of 864, 243, 273, 450?

We can find the highest common divisor of 864, 243, 273, 450 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 864, 243, 273, 450 i.e 3.

3. How can I use the GCD of 864, 243, 273, 450Calculator?

Out the numbers 864, 243, 273, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.