GCD of 492, 408, 712, 324 Calculator

Given Input numbers are 492, 408, 712, 324

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (492, 408, 712, 324) = 4.

Given numbers are 492, 408, 712, 324

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 492, 408, 712, 324 is 4.

Given numbers are 492, 408, 712, 324

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

Apply this formula for all numbers.

Step1:

LCM(492, 408) = 16728

GCD(492, 408) = ( 492 x 408 ) / 16728

= 492 / 408

= 492

Step2:

LCM(12, 712) = 2136

GCD(12, 712) = ( 12 x 712 ) / 2136

= 12 / 712

= 12

Step3:

LCM(4, 324) = 324

GCD(4, 324) = ( 4 x 324 ) / 324

= 4 / 324

= 4

So, Greatest Common Divisor of 492, 408, 712, 324 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 372, 228, 180
• GCD of 524, 207, 359, 702
• GCD of 634, 288, 899, 761
• GCD of 712, 889, 395, 978
• GCD of 180, 725, 612, 636

Given numbers are 492, 408, 712, 324
The greatest common divisor of numbers 492, 408, 712, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 408, 712, 324 is 4.

1. What is the GCD of 492, 408, 712, 324?

GCD of given numbers 492, 408, 712, 324 is 4

2. How to calculate the greatest common divisor of 492, 408, 712, 324?

We can find the highest common divisor of 492, 408, 712, 324 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, 408, 712, 324 i.e 4.

3. How can I use the GCD of 492, 408, 712, 324Calculator?

Out the numbers 492, 408, 712, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.