GCD of 526, 683, 489, 800 Calculator

Given Input numbers are 526, 683, 489, 800

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 526, 683, 489, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 683, 489, 800 is 1.

Therefore, GCD of numbers 526, 683, 489, 800 is 1

Given Input Data is 526, 683, 489, 800

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 683 is 683

Prime Factorization of 489 is 3 x 163

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 683) = 359258

GCD(526, 683) = ( 526 x 683 ) / 359258

GCD(526, 683) = 359258 / 359258

GCD(526, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 526, 683, 489, 800 is 1

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1. What is the GCD of 526, 683, 489, 800?

GCD of 526, 683, 489, 800 is 1

2. Where do I get the detailed procedure to find GCD of 526, 683, 489, 800?

You can find a detailed procedure to find GCD of 526, 683, 489, 800 on our page.

3. How to find GCD of 526, 683, 489, 800 on a calculator?

You can find the GCD of 526, 683, 489, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.