GCD of 825, 218, 475, 973 Calculator

Given Input numbers are 825, 218, 475, 973

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 825, 218, 475, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 218, 475, 973 is 1.

Therefore, GCD of numbers 825, 218, 475, 973 is 1

Given Input Data is 825, 218, 475, 973

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 218 is 2 x 109

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 973 is 7 x 139

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, 218) = 179850

GCD(825, 218) = ( 825 x 218 ) / 179850

GCD(825, 218) = 179850 / 179850

GCD(825, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 825, 218, 475, 973 is 1

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1. What is the GCD of 825, 218, 475, 973?

GCD of 825, 218, 475, 973 is 1

2. Where do I get the detailed procedure to find GCD of 825, 218, 475, 973?

You can find a detailed procedure to find GCD of 825, 218, 475, 973 on our page.

3. How to find GCD of 825, 218, 475, 973 on a calculator?

You can find the GCD of 825, 218, 475, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.