GCD of 524, 832, 396, 324 Calculator

Given Input numbers are 524, 832, 396, 324

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 (524, 832, 396, 324) = 4.

Given numbers are 524, 832, 396, 324

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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 524, 832, 396, 324 is 4.

Given numbers are 524, 832, 396, 324

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

Apply this formula for all numbers.

Step1:

LCM(524, 832) = 108992

GCD(524, 832) = ( 524 x 832 ) / 108992

= 524 / 832

= 524

Step2:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

Step3:

LCM(4, 324) = 324

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

= 4 / 324

= 4

So, Greatest Common Divisor of 524, 832, 396, 324 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 476, 523, 277
• GCD of 396, 807, 987, 303
• GCD of 346, 172, 590, 676
• GCD of 334, 290, 395, 134
• GCD of 736, 247, 969, 157

Given numbers are 524, 832, 396, 324
The greatest common divisor of numbers 524, 832, 396, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 832, 396, 324 is 4.

1. What is the GCD of 524, 832, 396, 324?

GCD of given numbers 524, 832, 396, 324 is 4

2. How to calculate the greatest common divisor of 524, 832, 396, 324?

We can find the highest common divisor of 524, 832, 396, 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 524, 832, 396, 324 i.e 4.

3. How can I use the GCD of 524, 832, 396, 324Calculator?

Out the numbers 524, 832, 396, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.