GCD of 678, 348, 243 Calculator

Given Input numbers are 678, 348, 243

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

Divisors of 678 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 348, 243) = 3.

Given numbers are 678, 348, 243

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 3¹

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

Given numbers are 678, 348, 243

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

Apply this formula for all numbers.

Step1:

LCM(678, 348) = 39324

GCD(678, 348) = ( 678 x 348 ) / 39324

= 678 / 348

= 678

Step2:

LCM(6, 243) = 486

GCD(6, 243) = ( 6 x 243 ) / 486

= 6 / 243

= 6

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

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 512, 963
• GCD of 523, 502, 525
• GCD of 464, 641, 905
• GCD of 311, 536, 347
• GCD of 420, 727, 263

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

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

GCD of given numbers 678, 348, 243 is 3

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

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

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

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