GCD of 195, 174, 330, 558 Calculator

Given Input numbers are 195, 174, 330, 558

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (195, 174, 330, 558) = 3.

Given numbers are 195, 174, 330, 558

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 174 are 2 x 3 x 29

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 195, 174, 330, 558 is 3.

Given numbers are 195, 174, 330, 558

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

Apply this formula for all numbers.

Step1:

LCM(195, 174) = 11310

GCD(195, 174) = ( 195 x 174 ) / 11310

= 195 / 174

= 195

Step2:

LCM(3, 330) = 330

GCD(3, 330) = ( 3 x 330 ) / 330

= 3 / 330

= 3

Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

So, Greatest Common Divisor of 195, 174, 330, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 844, 465, 692
• GCD of 564, 149, 168, 831
• GCD of 406, 373, 199, 336
• GCD of 742, 357, 570, 735
• GCD of 602, 699, 606, 149

Given numbers are 195, 174, 330, 558
The greatest common divisor of numbers 195, 174, 330, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 174, 330, 558 is 3.

1. What is the GCD of 195, 174, 330, 558?

GCD of given numbers 195, 174, 330, 558 is 3

2. How to calculate the greatest common divisor of 195, 174, 330, 558?

We can find the highest common divisor of 195, 174, 330, 558 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, 174, 330, 558 i.e 3.

3. How can I use the GCD of 195, 174, 330, 558Calculator?

Out the numbers 195, 174, 330, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.