GCD of 520, 914, 228, 590 Calculator

Given Input numbers are 520, 914, 228, 590

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 520, 914, 228, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 914, 228, 590 is 2.

Therefore, GCD of numbers 520, 914, 228, 590 is 2

Given Input Data is 520, 914, 228, 590

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 914 is 2 x 457

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 590 is 2 x 5 x 59

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, 914) = 237640

GCD(520, 914) = ( 520 x 914 ) / 237640

GCD(520, 914) = 475280 / 237640

GCD(520, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 520, 914, 228, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 531, 549, 897, 491
• GCD of 315, 685, 651, 276
• GCD of 885, 167, 919, 230
• GCD of 607, 116, 248, 397
• GCD of 850, 332, 925, 526

1. What is the GCD of 520, 914, 228, 590?

GCD of 520, 914, 228, 590 is 2

2. Where do I get the detailed procedure to find GCD of 520, 914, 228, 590?

You can find a detailed procedure to find GCD of 520, 914, 228, 590 on our page.

3. How to find GCD of 520, 914, 228, 590 on a calculator?

You can find the GCD of 520, 914, 228, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.