GCD of 327, 390, 609, 678 Calculator

Given Input numbers are 327, 390, 609, 678

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

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (327, 390, 609, 678) = 3.

Given numbers are 327, 390, 609, 678

The list of prime factors of all numbers are

Prime factors of 327 are 3 x 109

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 609 are 3 x 7 x 29

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 327, 390, 609, 678 is 3.

Given numbers are 327, 390, 609, 678

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

Apply this formula for all numbers.

Step1:

LCM(327, 390) = 42510

GCD(327, 390) = ( 327 x 390 ) / 42510

= 327 / 390

= 327

Step2:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 327, 390, 609, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 907, 155, 174
• GCD of 813, 550, 461, 261
• GCD of 811, 768, 723, 737
• GCD of 608, 126, 336, 527
• GCD of 144, 558, 682, 151

Given numbers are 327, 390, 609, 678
The greatest common divisor of numbers 327, 390, 609, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 390, 609, 678 is 3.

1. What is the GCD of 327, 390, 609, 678?

GCD of given numbers 327, 390, 609, 678 is 3

2. How to calculate the greatest common divisor of 327, 390, 609, 678?

We can find the highest common divisor of 327, 390, 609, 678 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 327, 390, 609, 678 i.e 3.

3. How can I use the GCD of 327, 390, 609, 678Calculator?

Out the numbers 327, 390, 609, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.