GCD of 339, 213, 645, 216 Calculator

Given Input numbers are 339, 213, 645, 216

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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

GCD of numbers is the greatest common divisor

So, the GCD (339, 213, 645, 216) = 3.

Given numbers are 339, 213, 645, 216

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 213 are 3 x 71

Prime factors of 645 are 3 x 5 x 43

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

The highest common occurrence is 3¹

Therefore, GCD of 339, 213, 645, 216 is 3.

Given numbers are 339, 213, 645, 216

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

Apply this formula for all numbers.

Step1:

LCM(339, 213) = 24069

GCD(339, 213) = ( 339 x 213 ) / 24069

= 339 / 213

= 339

Step2:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 339, 213, 645, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 127, 697, 288
• GCD of 131, 131, 588, 421
• GCD of 697, 565, 887, 636
• GCD of 618, 169, 628, 769
• GCD of 423, 925, 563, 571

Given numbers are 339, 213, 645, 216
The greatest common divisor of numbers 339, 213, 645, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 213, 645, 216 is 3.

1. What is the GCD of 339, 213, 645, 216?

GCD of given numbers 339, 213, 645, 216 is 3

2. How to calculate the greatest common divisor of 339, 213, 645, 216?

We can find the highest common divisor of 339, 213, 645, 216 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 339, 213, 645, 216 i.e 3.

3. How can I use the GCD of 339, 213, 645, 216Calculator?

Out the numbers 339, 213, 645, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.