GCD of 318, 351, 30, 663 Calculator

Given Input numbers are 318, 351, 30, 663

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

GCD of numbers is the greatest common divisor

So, the GCD (318, 351, 30, 663) = 3.

Given numbers are 318, 351, 30, 663

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 30 are 2 x 3 x 5

Prime factors of 663 are 3 x 13 x 17

The highest common occurrence is 3¹

Therefore, GCD of 318, 351, 30, 663 is 3.

Given numbers are 318, 351, 30, 663

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

Apply this formula for all numbers.

Step1:

LCM(318, 351) = 37206

GCD(318, 351) = ( 318 x 351 ) / 37206

= 318 / 351

= 318

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

Step3:

LCM(3, 663) = 663

GCD(3, 663) = ( 3 x 663 ) / 663

= 3 / 663

= 3

So, Greatest Common Divisor of 318, 351, 30, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 514, 47, 580
• GCD of 293, 304, 50, 495
• GCD of 978, 815, 38, 668
• GCD of 499, 864, 61, 911
• GCD of 466, 777, 46, 242

Given numbers are 318, 351, 30, 663
The greatest common divisor of numbers 318, 351, 30, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 351, 30, 663 is 3.

1. What is the GCD of 318, 351, 30, 663?

GCD of given numbers 318, 351, 30, 663 is 3

2. How to calculate the greatest common divisor of 318, 351, 30, 663?

We can find the highest common divisor of 318, 351, 30, 663 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, 351, 30, 663 i.e 3.

3. How can I use the GCD of 318, 351, 30, 663Calculator?

Out the numbers 318, 351, 30, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.