GCD of 468, 264, 24 Calculator

Given Input numbers are 468, 264, 24

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

GCD of numbers is the greatest common divisor

So, the GCD (468, 264, 24) = 12.

Given numbers are 468, 264, 24

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 24 are 2 x 2 x 2 x 3

The highest common occurrence is 2² x 3¹

Therefore, GCD of 468, 264, 24 is 12.

Given numbers are 468, 264, 24

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

Apply this formula for all numbers.

Step1:

LCM(468, 264) = 10296

GCD(468, 264) = ( 468 x 264 ) / 10296

= 468 / 264

= 468

Step2:

LCM(12, 24) = 24

GCD(12, 24) = ( 12 x 24 ) / 24

= 12 / 24

= 12

So, Greatest Common Divisor of 468, 264, 24 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 458, 57
• GCD of 207, 216, 50
• GCD of 826, 972, 55
• GCD of 844, 307, 73
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Given numbers are 468, 264, 24
The greatest common divisor of numbers 468, 264, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 264, 24 is 12.

1. What is the GCD of 468, 264, 24?

GCD of given numbers 468, 264, 24 is 12

2. How to calculate the greatest common divisor of 468, 264, 24?

We can find the highest common divisor of 468, 264, 24 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 468, 264, 24 i.e 12.

3. How can I use the GCD of 468, 264, 24Calculator?

Out the numbers 468, 264, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.