GCD of 318, 603, 132, 363 Calculator

Given Input numbers are 318, 603, 132, 363

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (318, 603, 132, 363) = 3.

Given numbers are 318, 603, 132, 363

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 603 are 3 x 3 x 67

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 318, 603, 132, 363 is 3.

Given numbers are 318, 603, 132, 363

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

Apply this formula for all numbers.

Step1:

LCM(318, 603) = 63918

GCD(318, 603) = ( 318 x 603 ) / 63918

= 318 / 603

= 318

Step2:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

Step3:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

So, Greatest Common Divisor of 318, 603, 132, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 492, 750, 885
• GCD of 239, 592, 198, 847
• GCD of 278, 447, 842, 907
• GCD of 391, 660, 789, 392
• GCD of 471, 261, 153, 759

Given numbers are 318, 603, 132, 363
The greatest common divisor of numbers 318, 603, 132, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 603, 132, 363 is 3.

1. What is the GCD of 318, 603, 132, 363?

GCD of given numbers 318, 603, 132, 363 is 3

2. How to calculate the greatest common divisor of 318, 603, 132, 363?

We can find the highest common divisor of 318, 603, 132, 363 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 318, 603, 132, 363 i.e 3.

3. How can I use the GCD of 318, 603, 132, 363Calculator?

Out the numbers 318, 603, 132, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.