GCD of 520, 150, 44, 814 Calculator

Given Input numbers are 520, 150, 44, 814

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 520, 150, 44, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 150, 44, 814 is 2.

Therefore, GCD of numbers 520, 150, 44, 814 is 2

Given Input Data is 520, 150, 44, 814

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 814 is 2 x 11 x 37

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(520, 150) = 7800

GCD(520, 150) = ( 520 x 150 ) / 7800

GCD(520, 150) = 78000 / 7800

GCD(520, 150) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 44

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

LCM(10, 44) = 220

GCD(10, 44) = ( 10 x 44 ) / 220

GCD(10, 44) = 440 / 220

GCD(10, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 520, 150, 44, 814 is 2

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• GCD of 981, 428, 69, 154

1. What is the GCD of 520, 150, 44, 814?

GCD of 520, 150, 44, 814 is 2

2. Where do I get the detailed procedure to find GCD of 520, 150, 44, 814?

You can find a detailed procedure to find GCD of 520, 150, 44, 814 on our page.

3. How to find GCD of 520, 150, 44, 814 on a calculator?

You can find the GCD of 520, 150, 44, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.