GCD of 216, 543, 357, 348 Calculator

Given Input numbers are 216, 543, 357, 348

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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

GCD of numbers is the greatest common divisor

So, the GCD (216, 543, 357, 348) = 3.

Given numbers are 216, 543, 357, 348

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 543 are 3 x 181

Prime factors of 357 are 3 x 7 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 216, 543, 357, 348 is 3.

Given numbers are 216, 543, 357, 348

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

Apply this formula for all numbers.

Step1:

LCM(216, 543) = 39096

GCD(216, 543) = ( 216 x 543 ) / 39096

= 216 / 543

= 216

Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 216, 543, 357, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 229, 727, 229
• GCD of 162, 330, 452, 768
• GCD of 997, 537, 749, 732
• GCD of 207, 119, 370, 215
• GCD of 747, 778, 655, 637

Given numbers are 216, 543, 357, 348
The greatest common divisor of numbers 216, 543, 357, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 543, 357, 348 is 3.

1. What is the GCD of 216, 543, 357, 348?

GCD of given numbers 216, 543, 357, 348 is 3

2. How to calculate the greatest common divisor of 216, 543, 357, 348?

We can find the highest common divisor of 216, 543, 357, 348 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 216, 543, 357, 348 i.e 3.

3. How can I use the GCD of 216, 543, 357, 348Calculator?

Out the numbers 216, 543, 357, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.