GCD of 273, 360, 333, 288 Calculator

Given Input numbers are 273, 360, 333, 288

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

Divisors of 273 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

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

GCD of numbers is the greatest common divisor

So, the GCD (273, 360, 333, 288) = 3.

Given numbers are 273, 360, 333, 288

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 333 are 3 x 3 x 37

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 273, 360, 333, 288 is 3.

Given numbers are 273, 360, 333, 288

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

Apply this formula for all numbers.

Step1:

LCM(273, 360) = 32760

GCD(273, 360) = ( 273 x 360 ) / 32760

= 273 / 360

= 273

Step2:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 273, 360, 333, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 965, 379, 599
• GCD of 523, 700, 437, 931
• GCD of 942, 770, 720, 689
• GCD of 468, 905, 890, 986
• GCD of 856, 715, 373, 110

Given numbers are 273, 360, 333, 288
The greatest common divisor of numbers 273, 360, 333, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 360, 333, 288 is 3.

1. What is the GCD of 273, 360, 333, 288?

GCD of given numbers 273, 360, 333, 288 is 3

2. How to calculate the greatest common divisor of 273, 360, 333, 288?

We can find the highest common divisor of 273, 360, 333, 288 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 273, 360, 333, 288 i.e 3.

3. How can I use the GCD of 273, 360, 333, 288Calculator?

Out the numbers 273, 360, 333, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.