GCD of 324, 168, 201, 408 Calculator

Given Input numbers are 324, 168, 201, 408

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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

GCD of numbers is the greatest common divisor

So, the GCD (324, 168, 201, 408) = 3.

Given numbers are 324, 168, 201, 408

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 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 201 are 3 x 67

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

The highest common occurrence is 3¹

Therefore, GCD of 324, 168, 201, 408 is 3.

Given numbers are 324, 168, 201, 408

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

Apply this formula for all numbers.

Step1:

LCM(324, 168) = 4536

GCD(324, 168) = ( 324 x 168 ) / 4536

= 324 / 168

= 324

Step2:

LCM(12, 201) = 804

GCD(12, 201) = ( 12 x 201 ) / 804

= 12 / 201

= 12

Step3:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

So, Greatest Common Divisor of 324, 168, 201, 408 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 601, 182, 413
• GCD of 470, 130, 307, 464
• GCD of 815, 956, 629, 927
• GCD of 144, 706, 392, 703
• GCD of 496, 422, 882, 378

Given numbers are 324, 168, 201, 408
The greatest common divisor of numbers 324, 168, 201, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 168, 201, 408 is 3.

1. What is the GCD of 324, 168, 201, 408?

GCD of given numbers 324, 168, 201, 408 is 3

2. How to calculate the greatest common divisor of 324, 168, 201, 408?

We can find the highest common divisor of 324, 168, 201, 408 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, 168, 201, 408 i.e 3.

3. How can I use the GCD of 324, 168, 201, 408Calculator?

Out the numbers 324, 168, 201, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.