GCD of 402, 288, 963, 327 Calculator

Given Input numbers are 402, 288, 963, 327

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

Divisors of 402 :

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

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

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 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

GCD of numbers is the greatest common divisor

So, the GCD (402, 288, 963, 327) = 3.

Given numbers are 402, 288, 963, 327

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 963 are 3 x 3 x 107

Prime factors of 327 are 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 402, 288, 963, 327 is 3.

Given numbers are 402, 288, 963, 327

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

Apply this formula for all numbers.

Step1:

LCM(402, 288) = 19296

GCD(402, 288) = ( 402 x 288 ) / 19296

= 402 / 288

= 402

Step2:

LCM(6, 963) = 1926

GCD(6, 963) = ( 6 x 963 ) / 1926

= 6 / 963

= 6

Step3:

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

= 3 / 327

= 3

So, Greatest Common Divisor of 402, 288, 963, 327 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 680, 629, 801
• GCD of 440, 660, 637, 694
• GCD of 299, 905, 374, 639
• GCD of 494, 657, 356, 969
• GCD of 838, 489, 366, 645

Given numbers are 402, 288, 963, 327
The greatest common divisor of numbers 402, 288, 963, 327 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 288, 963, 327 is 3.

1. What is the GCD of 402, 288, 963, 327?

GCD of given numbers 402, 288, 963, 327 is 3

2. How to calculate the greatest common divisor of 402, 288, 963, 327?

We can find the highest common divisor of 402, 288, 963, 327 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 402, 288, 963, 327 i.e 3.

3. How can I use the GCD of 402, 288, 963, 327Calculator?

Out the numbers 402, 288, 963, 327 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.