GCD of 218, 318, 176, 684 Calculator

Given Input numbers are 218, 318, 176, 684

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (218, 318, 176, 684) = 2.

Given numbers are 218, 318, 176, 684

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 318 are 2 x 3 x 53

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 218, 318, 176, 684 is 2.

Given numbers are 218, 318, 176, 684

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

Apply this formula for all numbers.

Step1:

LCM(218, 318) = 34662

GCD(218, 318) = ( 218 x 318 ) / 34662

= 218 / 318

= 218

Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 218, 318, 176, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 321, 627, 402
• GCD of 745, 198, 243, 947
• GCD of 350, 653, 861, 200
• GCD of 285, 497, 322, 238
• GCD of 758, 905, 768, 969

Given numbers are 218, 318, 176, 684
The greatest common divisor of numbers 218, 318, 176, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 318, 176, 684 is 2.

1. What is the GCD of 218, 318, 176, 684?

GCD of given numbers 218, 318, 176, 684 is 2

2. How to calculate the greatest common divisor of 218, 318, 176, 684?

We can find the highest common divisor of 218, 318, 176, 684 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 218, 318, 176, 684 i.e 2.

3. How can I use the GCD of 218, 318, 176, 684Calculator?

Out the numbers 218, 318, 176, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.