GCD of 372, 864, 228, 492 Calculator

Given Input numbers are 372, 864, 228, 492

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

GCD of numbers is the greatest common divisor

So, the GCD (372, 864, 228, 492) = 12.

Given numbers are 372, 864, 228, 492

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 228 are 2 x 2 x 3 x 19

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 372, 864, 228, 492 is 12.

Given numbers are 372, 864, 228, 492

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

Apply this formula for all numbers.

Step1:

LCM(372, 864) = 26784

GCD(372, 864) = ( 372 x 864 ) / 26784

= 372 / 864

= 372

Step2:

LCM(12, 228) = 228

GCD(12, 228) = ( 12 x 228 ) / 228

= 12 / 228

= 12

Step3:

LCM(12, 492) = 492

GCD(12, 492) = ( 12 x 492 ) / 492

= 12 / 492

= 12

So, Greatest Common Divisor of 372, 864, 228, 492 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 970, 888, 702
• GCD of 229, 988, 141, 993
• GCD of 591, 788, 864, 111
• GCD of 933, 819, 576, 325
• GCD of 111, 731, 270, 114

Given numbers are 372, 864, 228, 492
The greatest common divisor of numbers 372, 864, 228, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 864, 228, 492 is 12.

1. What is the GCD of 372, 864, 228, 492?

GCD of given numbers 372, 864, 228, 492 is 12

2. How to calculate the greatest common divisor of 372, 864, 228, 492?

We can find the highest common divisor of 372, 864, 228, 492 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 372, 864, 228, 492 i.e 12.

3. How can I use the GCD of 372, 864, 228, 492Calculator?

Out the numbers 372, 864, 228, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.