GCD of 324, 472, 604, 498 Calculator

Given Input numbers are 324, 472, 604, 498

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (324, 472, 604, 498) = 2.

Given numbers are 324, 472, 604, 498

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 604 are 2 x 2 x 151

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 324, 472, 604, 498 is 2.

Given numbers are 324, 472, 604, 498

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

Apply this formula for all numbers.

Step1:

LCM(324, 472) = 38232

GCD(324, 472) = ( 324 x 472 ) / 38232

= 324 / 472

= 324

Step2:

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

= 4 / 604

= 4

Step3:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

So, Greatest Common Divisor of 324, 472, 604, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 634, 463, 616
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• GCD of 909, 103, 926, 979
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• GCD of 208, 585, 897, 417

Given numbers are 324, 472, 604, 498
The greatest common divisor of numbers 324, 472, 604, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 472, 604, 498 is 2.

1. What is the GCD of 324, 472, 604, 498?

GCD of given numbers 324, 472, 604, 498 is 2

2. How to calculate the greatest common divisor of 324, 472, 604, 498?

We can find the highest common divisor of 324, 472, 604, 498 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 324, 472, 604, 498 i.e 2.

3. How can I use the GCD of 324, 472, 604, 498Calculator?

Out the numbers 324, 472, 604, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.