GCD of 410, 512, 216, 616 Calculator

Given Input numbers are 410, 512, 216, 616

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 410, 512, 216, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 512, 216, 616 is 2.

Therefore, GCD of numbers 410, 512, 216, 616 is 2

Given Input Data is 410, 512, 216, 616

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(410, 512) = 104960

GCD(410, 512) = ( 410 x 512 ) / 104960

GCD(410, 512) = 209920 / 104960

GCD(410, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 410, 512, 216, 616 is 2

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1. What is the GCD of 410, 512, 216, 616?

GCD of 410, 512, 216, 616 is 2

2. Where do I get the detailed procedure to find GCD of 410, 512, 216, 616?

You can find a detailed procedure to find GCD of 410, 512, 216, 616 on our page.

3. How to find GCD of 410, 512, 216, 616 on a calculator?

You can find the GCD of 410, 512, 216, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.