GCD of 825, 430, 75, 281 Calculator

Given Input numbers are 825, 430, 75, 281

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 825, 430, 75, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 430, 75, 281 is 1.

Therefore, GCD of numbers 825, 430, 75, 281 is 1

Given Input Data is 825, 430, 75, 281

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 430 is 2 x 5 x 43

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 281 is 281

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, 430) = 70950

GCD(825, 430) = ( 825 x 430 ) / 70950

GCD(825, 430) = 354750 / 70950

GCD(825, 430) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 75

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

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

GCD(5, 75) = 375 / 75

GCD(5, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 281

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

LCM(5, 281) = 1405

GCD(5, 281) = ( 5 x 281 ) / 1405

GCD(5, 281) = 1405 / 1405

GCD(5, 281) = 1

GCD of 825, 430, 75, 281 is 1

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1. What is the GCD of 825, 430, 75, 281?

GCD of 825, 430, 75, 281 is 1

2. Where do I get the detailed procedure to find GCD of 825, 430, 75, 281?

You can find a detailed procedure to find GCD of 825, 430, 75, 281 on our page.

3. How to find GCD of 825, 430, 75, 281 on a calculator?

You can find the GCD of 825, 430, 75, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.