GCD of 492, 576, 252 Calculator

Given Input numbers are 492, 576, 252

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (492, 576, 252) = 12.

Given numbers are 492, 576, 252

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2² x 3¹

Therefore, GCD of 492, 576, 252 is 12.

Given numbers are 492, 576, 252

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

Apply this formula for all numbers.

Step1:

LCM(492, 576) = 23616

GCD(492, 576) = ( 492 x 576 ) / 23616

= 492 / 576

= 492

Step2:

LCM(12, 252) = 252

GCD(12, 252) = ( 12 x 252 ) / 252

= 12 / 252

= 12

So, Greatest Common Divisor of 492, 576, 252 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 854, 570
• GCD of 797, 566, 957
• GCD of 551, 110, 939
• GCD of 827, 306, 172
• GCD of 755, 910, 437

Given numbers are 492, 576, 252
The greatest common divisor of numbers 492, 576, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 576, 252 is 12.

1. What is the GCD of 492, 576, 252?

GCD of given numbers 492, 576, 252 is 12

2. How to calculate the greatest common divisor of 492, 576, 252?

We can find the highest common divisor of 492, 576, 252 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 492, 576, 252 i.e 12.

3. How can I use the GCD of 492, 576, 252Calculator?

Out the numbers 492, 576, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.