GCD of 480, 186, 416, 612 Calculator

Given Input numbers are 480, 186, 416, 612

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

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 480, 186, 416, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 186, 416, 612 is 2.

Therefore, GCD of numbers 480, 186, 416, 612 is 2

Given Input Data is 480, 186, 416, 612

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

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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(480, 186) = 14880

GCD(480, 186) = ( 480 x 186 ) / 14880

GCD(480, 186) = 89280 / 14880

GCD(480, 186) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 416

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

LCM(6, 416) = 1248

GCD(6, 416) = ( 6 x 416 ) / 1248

GCD(6, 416) = 2496 / 1248

GCD(6, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

GCD of 480, 186, 416, 612 is 2

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1. What is the GCD of 480, 186, 416, 612?

GCD of 480, 186, 416, 612 is 2

2. Where do I get the detailed procedure to find GCD of 480, 186, 416, 612?

You can find a detailed procedure to find GCD of 480, 186, 416, 612 on our page.

3. How to find GCD of 480, 186, 416, 612 on a calculator?

You can find the GCD of 480, 186, 416, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.