GCD of 324, 198, 285, 633 Calculator

Given Input numbers are 324, 198, 285, 633

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

GCD of numbers is the greatest common divisor

So, the GCD (324, 198, 285, 633) = 3.

Given numbers are 324, 198, 285, 633

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 198 are 2 x 3 x 3 x 11

Prime factors of 285 are 3 x 5 x 19

Prime factors of 633 are 3 x 211

The highest common occurrence is 3¹

Therefore, GCD of 324, 198, 285, 633 is 3.

Given numbers are 324, 198, 285, 633

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

Apply this formula for all numbers.

Step1:

LCM(324, 198) = 3564

GCD(324, 198) = ( 324 x 198 ) / 3564

= 324 / 198

= 324

Step2:

LCM(18, 285) = 1710

GCD(18, 285) = ( 18 x 285 ) / 1710

= 18 / 285

= 18

Step3:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

So, Greatest Common Divisor of 324, 198, 285, 633 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 919, 278, 911
• GCD of 860, 542, 485, 436
• GCD of 235, 590, 620, 856
• GCD of 728, 625, 907, 455
• GCD of 817, 586, 582, 559

Given numbers are 324, 198, 285, 633
The greatest common divisor of numbers 324, 198, 285, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 198, 285, 633 is 3.

1. What is the GCD of 324, 198, 285, 633?

GCD of given numbers 324, 198, 285, 633 is 3

2. How to calculate the greatest common divisor of 324, 198, 285, 633?

We can find the highest common divisor of 324, 198, 285, 633 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, 198, 285, 633 i.e 3.

3. How can I use the GCD of 324, 198, 285, 633Calculator?

Out the numbers 324, 198, 285, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.