GCD of 216, 480, 544, 466 Calculator

Given Input numbers are 216, 480, 544, 466

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (216, 480, 544, 466) = 2.

Given numbers are 216, 480, 544, 466

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 216, 480, 544, 466 is 2.

Given numbers are 216, 480, 544, 466

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

Apply this formula for all numbers.

Step1:

LCM(216, 480) = 4320

GCD(216, 480) = ( 216 x 480 ) / 4320

= 216 / 480

= 216

Step2:

LCM(24, 544) = 1632

GCD(24, 544) = ( 24 x 544 ) / 1632

= 24 / 544

= 24

Step3:

LCM(8, 466) = 1864

GCD(8, 466) = ( 8 x 466 ) / 1864

= 8 / 466

= 8

So, Greatest Common Divisor of 216, 480, 544, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 221, 566, 479
• GCD of 655, 352, 385, 878
• GCD of 151, 819, 491, 845
• GCD of 653, 219, 993, 753
• GCD of 943, 869, 770, 848

Given numbers are 216, 480, 544, 466
The greatest common divisor of numbers 216, 480, 544, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 480, 544, 466 is 2.

1. What is the GCD of 216, 480, 544, 466?

GCD of given numbers 216, 480, 544, 466 is 2

2. How to calculate the greatest common divisor of 216, 480, 544, 466?

We can find the highest common divisor of 216, 480, 544, 466 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 216, 480, 544, 466 i.e 2.

3. How can I use the GCD of 216, 480, 544, 466Calculator?

Out the numbers 216, 480, 544, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.