GCD of 108, 216, 688 Calculator

Given Input numbers are 108, 216, 688

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (108, 216, 688) = 4.

Given numbers are 108, 216, 688

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 108, 216, 688 is 4.

Given numbers are 108, 216, 688

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

Apply this formula for all numbers.

Step1:

LCM(108, 216) = 216

GCD(108, 216) = ( 108 x 216 ) / 216

= 108 / 216

= 108

Step2:

LCM(108, 688) = 18576

GCD(108, 688) = ( 108 x 688 ) / 18576

= 108 / 688

= 108

So, Greatest Common Divisor of 108, 216, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 699, 989
• GCD of 835, 710, 425
• GCD of 354, 394, 644
• GCD of 881, 918, 810
• GCD of 188, 312, 768

Given numbers are 108, 216, 688
The greatest common divisor of numbers 108, 216, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 216, 688 is 4.

1. What is the GCD of 108, 216, 688?

GCD of given numbers 108, 216, 688 is 4

2. How to calculate the greatest common divisor of 108, 216, 688?

We can find the highest common divisor of 108, 216, 688 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 108, 216, 688 i.e 4.

3. How can I use the GCD of 108, 216, 688Calculator?

Out the numbers 108, 216, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.