GCD of 920, 916, 12, 410 Calculator

Given Input numbers are 920, 916, 12, 410

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 410

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

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

Greatest Common Divisior

We found the divisors of 920, 916, 12, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 916, 12, 410 is 2.

Therefore, GCD of numbers 920, 916, 12, 410 is 2

Given Input Data is 920, 916, 12, 410

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 410 is 2 x 5 x 41

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(920, 916) = 210680

GCD(920, 916) = ( 920 x 916 ) / 210680

GCD(920, 916) = 842720 / 210680

GCD(920, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 410

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

LCM(4, 410) = 820

GCD(4, 410) = ( 4 x 410 ) / 820

GCD(4, 410) = 1640 / 820

GCD(4, 410) = 2

GCD of 920, 916, 12, 410 is 2

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1. What is the GCD of 920, 916, 12, 410?

GCD of 920, 916, 12, 410 is 2

2. Where do I get the detailed procedure to find GCD of 920, 916, 12, 410?

You can find a detailed procedure to find GCD of 920, 916, 12, 410 on our page.

3. How to find GCD of 920, 916, 12, 410 on a calculator?

You can find the GCD of 920, 916, 12, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.