GCD of 216, 334, 78 Calculator

Given Input numbers are 216, 334, 78

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

GCD of numbers is the greatest common divisor

So, the GCD (216, 334, 78) = 2.

Given numbers are 216, 334, 78

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 334 are 2 x 167

Prime factors of 78 are 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 216, 334, 78 is 2.

Given numbers are 216, 334, 78

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

Apply this formula for all numbers.

Step1:

LCM(216, 334) = 36072

GCD(216, 334) = ( 216 x 334 ) / 36072

= 216 / 334

= 216

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

So, Greatest Common Divisor of 216, 334, 78 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 663, 90
• GCD of 671, 212, 43
• GCD of 368, 258, 34
• GCD of 826, 442, 81
• GCD of 806, 383, 34

Given numbers are 216, 334, 78
The greatest common divisor of numbers 216, 334, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 334, 78 is 2.

1. What is the GCD of 216, 334, 78?

GCD of given numbers 216, 334, 78 is 2

2. How to calculate the greatest common divisor of 216, 334, 78?

We can find the highest common divisor of 216, 334, 78 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, 334, 78 i.e 2.

3. How can I use the GCD of 216, 334, 78Calculator?

Out the numbers 216, 334, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.