GCD of 300, 526, 28, 592 Calculator

Given Input numbers are 300, 526, 28, 592

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 300, 526, 28, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 526, 28, 592 is 2.

Therefore, GCD of numbers 300, 526, 28, 592 is 2

Given Input Data is 300, 526, 28, 592

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 526 is 2 x 263

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 592 is 2 x 2 x 2 x 2 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(300, 526) = 78900

GCD(300, 526) = ( 300 x 526 ) / 78900

GCD(300, 526) = 157800 / 78900

GCD(300, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 592

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

LCM(2, 592) = 592

GCD(2, 592) = ( 2 x 592 ) / 592

GCD(2, 592) = 1184 / 592

GCD(2, 592) = 2

GCD of 300, 526, 28, 592 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 603, 67, 353
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• GCD of 888, 670, 78, 123
• GCD of 811, 648, 50, 791

1. What is the GCD of 300, 526, 28, 592?

GCD of 300, 526, 28, 592 is 2

2. Where do I get the detailed procedure to find GCD of 300, 526, 28, 592?

You can find a detailed procedure to find GCD of 300, 526, 28, 592 on our page.

3. How to find GCD of 300, 526, 28, 592 on a calculator?

You can find the GCD of 300, 526, 28, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.