GCD of 642, 408, 435, 324 Calculator

Given Input numbers are 642, 408, 435, 324

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 (642, 408, 435, 324) = 3.

Given numbers are 642, 408, 435, 324

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 435 are 3 x 5 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 642, 408, 435, 324 is 3.

Given numbers are 642, 408, 435, 324

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

Apply this formula for all numbers.

Step1:

LCM(642, 408) = 43656

GCD(642, 408) = ( 642 x 408 ) / 43656

= 642 / 408

= 642

Step2:

LCM(6, 435) = 870

GCD(6, 435) = ( 6 x 435 ) / 870

= 6 / 435

= 6

Step3:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

So, Greatest Common Divisor of 642, 408, 435, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 200, 788, 183
• GCD of 399, 668, 781, 964
• GCD of 122, 837, 117, 252
• GCD of 746, 710, 808, 288
• GCD of 908, 337, 481, 229

Given numbers are 642, 408, 435, 324
The greatest common divisor of numbers 642, 408, 435, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 408, 435, 324 is 3.

1. What is the GCD of 642, 408, 435, 324?

GCD of given numbers 642, 408, 435, 324 is 3

2. How to calculate the greatest common divisor of 642, 408, 435, 324?

We can find the highest common divisor of 642, 408, 435, 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 642, 408, 435, 324 i.e 3.

3. How can I use the GCD of 642, 408, 435, 324Calculator?

Out the numbers 642, 408, 435, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.