GCD of 500, 688, 525, 398 Calculator

Given Input numbers are 500, 688, 525, 398

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 500, 688, 525, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 688, 525, 398 is 1.

Therefore, GCD of numbers 500, 688, 525, 398 is 1

Given Input Data is 500, 688, 525, 398

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 398 is 2 x 199

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(500, 688) = 86000

GCD(500, 688) = ( 500 x 688 ) / 86000

GCD(500, 688) = 344000 / 86000

GCD(500, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 525

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

LCM(4, 525) = 2100

GCD(4, 525) = ( 4 x 525 ) / 2100

GCD(4, 525) = 2100 / 2100

GCD(4, 525) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 500, 688, 525, 398 is 1

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1. What is the GCD of 500, 688, 525, 398?

GCD of 500, 688, 525, 398 is 1

2. Where do I get the detailed procedure to find GCD of 500, 688, 525, 398?

You can find a detailed procedure to find GCD of 500, 688, 525, 398 on our page.

3. How to find GCD of 500, 688, 525, 398 on a calculator?

You can find the GCD of 500, 688, 525, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.