GCD of 330, 480, 738, 272 Calculator

Given Input numbers are 330, 480, 738, 272

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (330, 480, 738, 272) = 2.

Given numbers are 330, 480, 738, 272

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 330, 480, 738, 272 is 2.

Given numbers are 330, 480, 738, 272

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

Apply this formula for all numbers.

Step1:

LCM(330, 480) = 5280

GCD(330, 480) = ( 330 x 480 ) / 5280

= 330 / 480

= 330

Step2:

LCM(30, 738) = 3690

GCD(30, 738) = ( 30 x 738 ) / 3690

= 30 / 738

= 30

Step3:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6

So, Greatest Common Divisor of 330, 480, 738, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 662, 418, 913
• GCD of 349, 327, 940, 259
• GCD of 911, 349, 743, 353
• GCD of 296, 522, 655, 591
• GCD of 771, 441, 661, 432

Given numbers are 330, 480, 738, 272
The greatest common divisor of numbers 330, 480, 738, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 480, 738, 272 is 2.

1. What is the GCD of 330, 480, 738, 272?

GCD of given numbers 330, 480, 738, 272 is 2

2. How to calculate the greatest common divisor of 330, 480, 738, 272?

We can find the highest common divisor of 330, 480, 738, 272 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 330, 480, 738, 272 i.e 2.

3. How can I use the GCD of 330, 480, 738, 272Calculator?

Out the numbers 330, 480, 738, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.