GCD of 195, 618, 108 Calculator

Given Input numbers are 195, 618, 108

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

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 (195, 618, 108) = 3.

Given numbers are 195, 618, 108

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 618 are 2 x 3 x 103

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

The highest common occurrence is 3¹

Therefore, GCD of 195, 618, 108 is 3.

Given numbers are 195, 618, 108

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

Apply this formula for all numbers.

Step1:

LCM(195, 618) = 40170

GCD(195, 618) = ( 195 x 618 ) / 40170

= 195 / 618

= 195

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 195, 618, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 155, 822
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Given numbers are 195, 618, 108
The greatest common divisor of numbers 195, 618, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 618, 108 is 3.

1. What is the GCD of 195, 618, 108?

GCD of given numbers 195, 618, 108 is 3

2. How to calculate the greatest common divisor of 195, 618, 108?

We can find the highest common divisor of 195, 618, 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 195, 618, 108 i.e 3.

3. How can I use the GCD of 195, 618, 108Calculator?

Out the numbers 195, 618, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.