GCD of 144, 524, 530, 330 Calculator

Given Input numbers are 144, 524, 530, 330

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (144, 524, 530, 330) = 2.

Given numbers are 144, 524, 530, 330

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 524 are 2 x 2 x 131

Prime factors of 530 are 2 x 5 x 53

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 144, 524, 530, 330 is 2.

Given numbers are 144, 524, 530, 330

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

Apply this formula for all numbers.

Step1:

LCM(144, 524) = 18864

GCD(144, 524) = ( 144 x 524 ) / 18864

= 144 / 524

= 144

Step2:

LCM(4, 530) = 1060

GCD(4, 530) = ( 4 x 530 ) / 1060

= 4 / 530

= 4

Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

So, Greatest Common Divisor of 144, 524, 530, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 691, 536, 450
• GCD of 617, 535, 590, 377
• GCD of 650, 280, 486, 596
• GCD of 550, 596, 649, 429
• GCD of 142, 976, 825, 763

Given numbers are 144, 524, 530, 330
The greatest common divisor of numbers 144, 524, 530, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 524, 530, 330 is 2.

1. What is the GCD of 144, 524, 530, 330?

GCD of given numbers 144, 524, 530, 330 is 2

2. How to calculate the greatest common divisor of 144, 524, 530, 330?

We can find the highest common divisor of 144, 524, 530, 330 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, 524, 530, 330 i.e 2.

3. How can I use the GCD of 144, 524, 530, 330Calculator?

Out the numbers 144, 524, 530, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.