GCD of 273, 588, 591, 264 Calculator

Given Input numbers are 273, 588, 591, 264

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (273, 588, 591, 264) = 3.

Given numbers are 273, 588, 591, 264

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 591 are 3 x 197

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 273, 588, 591, 264 is 3.

Given numbers are 273, 588, 591, 264

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

Apply this formula for all numbers.

Step1:

LCM(273, 588) = 7644

GCD(273, 588) = ( 273 x 588 ) / 7644

= 273 / 588

= 273

Step2:

LCM(21, 591) = 4137

GCD(21, 591) = ( 21 x 591 ) / 4137

= 21 / 591

= 21

Step3:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

So, Greatest Common Divisor of 273, 588, 591, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 846, 905, 200
• GCD of 696, 958, 896, 580
• GCD of 596, 975, 262, 284
• GCD of 815, 703, 260, 738
• GCD of 415, 273, 215, 141

Given numbers are 273, 588, 591, 264
The greatest common divisor of numbers 273, 588, 591, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 588, 591, 264 is 3.

1. What is the GCD of 273, 588, 591, 264?

GCD of given numbers 273, 588, 591, 264 is 3

2. How to calculate the greatest common divisor of 273, 588, 591, 264?

We can find the highest common divisor of 273, 588, 591, 264 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, 588, 591, 264 i.e 3.

3. How can I use the GCD of 273, 588, 591, 264Calculator?

Out the numbers 273, 588, 591, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.