GCD of 264, 276, 588, 432 Calculator

Given Input numbers are 264, 276, 588, 432

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

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (264, 276, 588, 432) = 12.

Given numbers are 264, 276, 588, 432

The list of prime factors of all numbers are

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

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2² x 3¹

Therefore, GCD of 264, 276, 588, 432 is 12.

Given numbers are 264, 276, 588, 432

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

Apply this formula for all numbers.

Step1:

LCM(264, 276) = 6072

GCD(264, 276) = ( 264 x 276 ) / 6072

= 264 / 276

= 264

Step2:

LCM(12, 588) = 588

GCD(12, 588) = ( 12 x 588 ) / 588

= 12 / 588

= 12

Step3:

LCM(12, 432) = 432

GCD(12, 432) = ( 12 x 432 ) / 432

= 12 / 432

= 12

So, Greatest Common Divisor of 264, 276, 588, 432 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 768, 728, 568
• GCD of 317, 417, 573, 517
• GCD of 653, 272, 969, 984
• GCD of 532, 327, 938, 915
• GCD of 147, 953, 880, 242

Given numbers are 264, 276, 588, 432
The greatest common divisor of numbers 264, 276, 588, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 276, 588, 432 is 12.

1. What is the GCD of 264, 276, 588, 432?

GCD of given numbers 264, 276, 588, 432 is 12

2. How to calculate the greatest common divisor of 264, 276, 588, 432?

We can find the highest common divisor of 264, 276, 588, 432 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 264, 276, 588, 432 i.e 12.

3. How can I use the GCD of 264, 276, 588, 432Calculator?

Out the numbers 264, 276, 588, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.