GCD of 667, 575, 825, 472 Calculator

Given Input numbers are 667, 575, 825, 472

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 667, 575, 825, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 575, 825, 472 is 1.

Therefore, GCD of numbers 667, 575, 825, 472 is 1

Given Input Data is 667, 575, 825, 472

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 575 is 5 x 5 x 23

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(667, 575) = 16675

GCD(667, 575) = ( 667 x 575 ) / 16675

GCD(667, 575) = 383525 / 16675

GCD(667, 575) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 825

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

LCM(23, 825) = 18975

GCD(23, 825) = ( 23 x 825 ) / 18975

GCD(23, 825) = 18975 / 18975

GCD(23, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 667, 575, 825, 472 is 1

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1. What is the GCD of 667, 575, 825, 472?

GCD of 667, 575, 825, 472 is 1

2. Where do I get the detailed procedure to find GCD of 667, 575, 825, 472?

You can find a detailed procedure to find GCD of 667, 575, 825, 472 on our page.

3. How to find GCD of 667, 575, 825, 472 on a calculator?

You can find the GCD of 667, 575, 825, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.