GCD of 108, 189, 425, 218 Calculator

Given Input numbers are 108, 189, 425, 218

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 218 :

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

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (108, 189, 425, 218) = 1.

Given numbers are 108, 189, 425, 218

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 189 are 3 x 3 x 3 x 7

Prime factors of 425 are 5 x 5 x 17

Prime factors of 218 are 2 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 189, 425, 218

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

Apply this formula for all numbers.

Step1:

LCM(108, 189) = 756

GCD(108, 189) = ( 108 x 189 ) / 756

= 108 / 189

= 108

Step2:

LCM(27, 425) = 11475

GCD(27, 425) = ( 27 x 425 ) / 11475

= 27 / 425

= 27

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 108, 189, 425, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 714, 253, 160
• GCD of 373, 552, 443, 112
• GCD of 298, 784, 610, 780
• GCD of 510, 725, 918, 867
• GCD of 912, 575, 517, 879

Given numbers are 108, 189, 425, 218
The greatest common divisor of numbers 108, 189, 425, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 189, 425, 218 is 1.

1. What is the GCD of 108, 189, 425, 218?

GCD of given numbers 108, 189, 425, 218 is 1

2. How to calculate the greatest common divisor of 108, 189, 425, 218?

We can find the highest common divisor of 108, 189, 425, 218 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, 189, 425, 218 i.e 1.

3. How can I use the GCD of 108, 189, 425, 218Calculator?

Out the numbers 108, 189, 425, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.