GCD of 575, 625, 814 Calculator

Given Input numbers are 575, 625, 814

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

Divisors of 575

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

1, 5, 23, 25, 115, 575

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 575, 625, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 625, 814 is 1.

Therefore, GCD of numbers 575, 625, 814 is 1

Given Input Data is 575, 625, 814

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 814 is 2 x 11 x 37

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(575, 625) = 14375

GCD(575, 625) = ( 575 x 625 ) / 14375

GCD(575, 625) = 359375 / 14375

GCD(575, 625) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 814

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

LCM(25, 814) = 20350

GCD(25, 814) = ( 25 x 814 ) / 20350

GCD(25, 814) = 20350 / 20350

GCD(25, 814) = 1

GCD of 575, 625, 814 is 1

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1. What is the GCD of 575, 625, 814?

GCD of 575, 625, 814 is 1

2. Where do I get the detailed procedure to find GCD of 575, 625, 814?

You can find a detailed procedure to find GCD of 575, 625, 814 on our page.

3. How to find GCD of 575, 625, 814 on a calculator?

You can find the GCD of 575, 625, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.