GCD of 288, 195, 171, 402 Calculator

Given Input numbers are 288, 195, 171, 402

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 195 :

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

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (288, 195, 171, 402) = 3.

Given numbers are 288, 195, 171, 402

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 195 are 3 x 5 x 13

Prime factors of 171 are 3 x 3 x 19

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 288, 195, 171, 402 is 3.

Given numbers are 288, 195, 171, 402

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

Apply this formula for all numbers.

Step1:

LCM(288, 195) = 18720

GCD(288, 195) = ( 288 x 195 ) / 18720

= 288 / 195

= 288

Step2:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 288, 195, 171, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 541, 638, 616
• GCD of 461, 768, 626, 258
• GCD of 608, 717, 301, 844
• GCD of 284, 818, 569, 539
• GCD of 112, 189, 373, 263

Given numbers are 288, 195, 171, 402
The greatest common divisor of numbers 288, 195, 171, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 195, 171, 402 is 3.

1. What is the GCD of 288, 195, 171, 402?

GCD of given numbers 288, 195, 171, 402 is 3

2. How to calculate the greatest common divisor of 288, 195, 171, 402?

We can find the highest common divisor of 288, 195, 171, 402 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 288, 195, 171, 402 i.e 3.

3. How can I use the GCD of 288, 195, 171, 402Calculator?

Out the numbers 288, 195, 171, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.