GCD of 144, 303, 936, 663 Calculator

Given Input numbers are 144, 303, 936, 663

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

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 (144, 303, 936, 663) = 3.

Given numbers are 144, 303, 936, 663

The list of prime factors of all numbers are

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

Prime factors of 303 are 3 x 101

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 663 are 3 x 13 x 17

The highest common occurrence is 3¹

Therefore, GCD of 144, 303, 936, 663 is 3.

Given numbers are 144, 303, 936, 663

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

Apply this formula for all numbers.

Step1:

LCM(144, 303) = 14544

GCD(144, 303) = ( 144 x 303 ) / 14544

= 144 / 303

= 144

Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

Step3:

LCM(3, 663) = 663

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

= 3 / 663

= 3

So, Greatest Common Divisor of 144, 303, 936, 663 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 440, 474, 422
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Given numbers are 144, 303, 936, 663
The greatest common divisor of numbers 144, 303, 936, 663 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 303, 936, 663 is 3.

1. What is the GCD of 144, 303, 936, 663?

GCD of given numbers 144, 303, 936, 663 is 3

2. How to calculate the greatest common divisor of 144, 303, 936, 663?

We can find the highest common divisor of 144, 303, 936, 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 144, 303, 936, 663 i.e 3.

3. How can I use the GCD of 144, 303, 936, 663Calculator?

Out the numbers 144, 303, 936, 663 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.