GCD of 218, 900, 340, 108 Calculator

Given Input numbers are 218, 900, 340, 108

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

GCD of numbers is the greatest common divisor

So, the GCD (218, 900, 340, 108) = 2.

Given numbers are 218, 900, 340, 108

The list of prime factors of all numbers are

Prime factors of 218 are 2 x 109

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 340 are 2 x 2 x 5 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 218, 900, 340, 108 is 2.

Given numbers are 218, 900, 340, 108

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

Apply this formula for all numbers.

Step1:

LCM(218, 900) = 98100

GCD(218, 900) = ( 218 x 900 ) / 98100

= 218 / 900

= 218

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 218, 900, 340, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 464, 880, 460
• GCD of 257, 108, 768, 556
• GCD of 739, 107, 540, 467
• GCD of 798, 954, 586, 306
• GCD of 322, 512, 998, 102

Given numbers are 218, 900, 340, 108
The greatest common divisor of numbers 218, 900, 340, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 900, 340, 108 is 2.

1. What is the GCD of 218, 900, 340, 108?

GCD of given numbers 218, 900, 340, 108 is 2

2. How to calculate the greatest common divisor of 218, 900, 340, 108?

We can find the highest common divisor of 218, 900, 340, 108 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, 900, 340, 108 i.e 2.

3. How can I use the GCD of 218, 900, 340, 108Calculator?

Out the numbers 218, 900, 340, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.