GCD of 168, 144, 489, 195 Calculator

Given Input numbers are 168, 144, 489, 195

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 195 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (168, 144, 489, 195) = 3.

Given numbers are 168, 144, 489, 195

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 489 are 3 x 163

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 168, 144, 489, 195 is 3.

Given numbers are 168, 144, 489, 195

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

Apply this formula for all numbers.

Step1:

LCM(168, 144) = 1008

GCD(168, 144) = ( 168 x 144 ) / 1008

= 168 / 144

= 168

Step2:

LCM(24, 489) = 3912

GCD(24, 489) = ( 24 x 489 ) / 3912

= 24 / 489

= 24

Step3:

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

= 3 / 195

= 3

So, Greatest Common Divisor of 168, 144, 489, 195 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 826, 352, 373
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Given numbers are 168, 144, 489, 195
The greatest common divisor of numbers 168, 144, 489, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 144, 489, 195 is 3.

1. What is the GCD of 168, 144, 489, 195?

GCD of given numbers 168, 144, 489, 195 is 3

2. How to calculate the greatest common divisor of 168, 144, 489, 195?

We can find the highest common divisor of 168, 144, 489, 195 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 168, 144, 489, 195 i.e 3.

3. How can I use the GCD of 168, 144, 489, 195Calculator?

Out the numbers 168, 144, 489, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.