GCD of 940, 808, 626, 516 Calculator

Given Input numbers are 940, 808, 626, 516

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 940, 808, 626, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 808, 626, 516 is 2.

Therefore, GCD of numbers 940, 808, 626, 516 is 2

Given Input Data is 940, 808, 626, 516

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 626 is 2 x 313

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(940, 808) = 189880

GCD(940, 808) = ( 940 x 808 ) / 189880

GCD(940, 808) = 759520 / 189880

GCD(940, 808) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 626

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

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

GCD(4, 626) = 2504 / 1252

GCD(4, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

GCD of 940, 808, 626, 516 is 2

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1. What is the GCD of 940, 808, 626, 516?

GCD of 940, 808, 626, 516 is 2

2. Where do I get the detailed procedure to find GCD of 940, 808, 626, 516?

You can find a detailed procedure to find GCD of 940, 808, 626, 516 on our page.

3. How to find GCD of 940, 808, 626, 516 on a calculator?

You can find the GCD of 940, 808, 626, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.