GCD of 825, 159, 335, 500 Calculator

Given Input numbers are 825, 159, 335, 500

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

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

Greatest Common Divisior

We found the divisors of 825, 159, 335, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 159, 335, 500 is 1.

Therefore, GCD of numbers 825, 159, 335, 500 is 1

Given Input Data is 825, 159, 335, 500

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 159 is 3 x 53

Prime Factorization of 335 is 5 x 67

Prime Factorization of 500 is 2 x 2 x 5 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(825, 159) = 43725

GCD(825, 159) = ( 825 x 159 ) / 43725

GCD(825, 159) = 131175 / 43725

GCD(825, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 335

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

LCM(3, 335) = 1005

GCD(3, 335) = ( 3 x 335 ) / 1005

GCD(3, 335) = 1005 / 1005

GCD(3, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 825, 159, 335, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 400, 412, 550
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• GCD of 499, 495, 125, 863
• GCD of 779, 505, 200, 197

1. What is the GCD of 825, 159, 335, 500?

GCD of 825, 159, 335, 500 is 1

2. Where do I get the detailed procedure to find GCD of 825, 159, 335, 500?

You can find a detailed procedure to find GCD of 825, 159, 335, 500 on our page.

3. How to find GCD of 825, 159, 335, 500 on a calculator?

You can find the GCD of 825, 159, 335, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.