GCD of 654, 216, 166, 480 Calculator

Given Input numbers are 654, 216, 166, 480

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Greatest Common Divisior

We found the divisors of 654, 216, 166, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 216, 166, 480 is 2.

Therefore, GCD of numbers 654, 216, 166, 480 is 2

Given Input Data is 654, 216, 166, 480

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 166 is 2 x 83

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(654, 216) = 23544

GCD(654, 216) = ( 654 x 216 ) / 23544

GCD(654, 216) = 141264 / 23544

GCD(654, 216) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 166

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

LCM(6, 166) = 498

GCD(6, 166) = ( 6 x 166 ) / 498

GCD(6, 166) = 996 / 498

GCD(6, 166) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 654, 216, 166, 480 is 2

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1. What is the GCD of 654, 216, 166, 480?

GCD of 654, 216, 166, 480 is 2

2. Where do I get the detailed procedure to find GCD of 654, 216, 166, 480?

You can find a detailed procedure to find GCD of 654, 216, 166, 480 on our page.

3. How to find GCD of 654, 216, 166, 480 on a calculator?

You can find the GCD of 654, 216, 166, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.