GCD of 609, 348, 243, 678 Calculator

Given Input numbers are 609, 348, 243, 678

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

Divisors of 609 :

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

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

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 (609, 348, 243, 678) = 3.

Given numbers are 609, 348, 243, 678

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 609, 348, 243, 678 is 3.

Given numbers are 609, 348, 243, 678

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

Apply this formula for all numbers.

Step1:

LCM(609, 348) = 2436

GCD(609, 348) = ( 609 x 348 ) / 2436

= 609 / 348

= 609

Step2:

LCM(87, 243) = 7047

GCD(87, 243) = ( 87 x 243 ) / 7047

= 87 / 243

= 87

Step3:

LCM(3, 678) = 678

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

= 3 / 678

= 3

So, Greatest Common Divisor of 609, 348, 243, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 861, 770, 640
• GCD of 113, 941, 805, 649
• GCD of 244, 814, 551, 480
• GCD of 791, 967, 749, 142
• GCD of 491, 780, 516, 171

Given numbers are 609, 348, 243, 678
The greatest common divisor of numbers 609, 348, 243, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 348, 243, 678 is 3.

1. What is the GCD of 609, 348, 243, 678?

GCD of given numbers 609, 348, 243, 678 is 3

2. How to calculate the greatest common divisor of 609, 348, 243, 678?

We can find the highest common divisor of 609, 348, 243, 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 609, 348, 243, 678 i.e 3.

3. How can I use the GCD of 609, 348, 243, 678Calculator?

Out the numbers 609, 348, 243, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.