GCD of 100, 216, 888, 318 Calculator

Given Input numbers are 100, 216, 888, 318

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 318 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 216, 888, 318) = 2.

Given numbers are 100, 216, 888, 318

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 100, 216, 888, 318 is 2.

Given numbers are 100, 216, 888, 318

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

Apply this formula for all numbers.

Step1:

LCM(100, 216) = 5400

GCD(100, 216) = ( 100 x 216 ) / 5400

= 100 / 216

= 100

Step2:

LCM(4, 888) = 888

GCD(4, 888) = ( 4 x 888 ) / 888

= 4 / 888

= 4

Step3:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

So, Greatest Common Divisor of 100, 216, 888, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 652, 605, 673
• GCD of 770, 473, 195, 831
• GCD of 542, 611, 130, 399
• GCD of 858, 535, 542, 916
• GCD of 304, 921, 339, 989

Given numbers are 100, 216, 888, 318
The greatest common divisor of numbers 100, 216, 888, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 216, 888, 318 is 2.

1. What is the GCD of 100, 216, 888, 318?

GCD of given numbers 100, 216, 888, 318 is 2

2. How to calculate the greatest common divisor of 100, 216, 888, 318?

We can find the highest common divisor of 100, 216, 888, 318 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 100, 216, 888, 318 i.e 2.

3. How can I use the GCD of 100, 216, 888, 318Calculator?

Out the numbers 100, 216, 888, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.