GCD of 526, 858, 300, 812 Calculator

Given Input numbers are 526, 858, 300, 812

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

Divisors of 526

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

1, 2, 263, 526

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 526, 858, 300, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 858, 300, 812 is 2.

Therefore, GCD of numbers 526, 858, 300, 812 is 2

Given Input Data is 526, 858, 300, 812

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(526, 858) = 225654

GCD(526, 858) = ( 526 x 858 ) / 225654

GCD(526, 858) = 451308 / 225654

GCD(526, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

GCD of 526, 858, 300, 812 is 2

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1. What is the GCD of 526, 858, 300, 812?

GCD of 526, 858, 300, 812 is 2

2. Where do I get the detailed procedure to find GCD of 526, 858, 300, 812?

You can find a detailed procedure to find GCD of 526, 858, 300, 812 on our page.

3. How to find GCD of 526, 858, 300, 812 on a calculator?

You can find the GCD of 526, 858, 300, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.