GCD of 890, 317, 625, 361 Calculator

Given Input numbers are 890, 317, 625, 361

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 890, 317, 625, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 317, 625, 361 is 1.

Therefore, GCD of numbers 890, 317, 625, 361 is 1

Given Input Data is 890, 317, 625, 361

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 317 is 317

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

Prime Factorization of 361 is 19 x 19

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(890, 317) = 282130

GCD(890, 317) = ( 890 x 317 ) / 282130

GCD(890, 317) = 282130 / 282130

GCD(890, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 890, 317, 625, 361 is 1

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1. What is the GCD of 890, 317, 625, 361?

GCD of 890, 317, 625, 361 is 1

2. Where do I get the detailed procedure to find GCD of 890, 317, 625, 361?

You can find a detailed procedure to find GCD of 890, 317, 625, 361 on our page.

3. How to find GCD of 890, 317, 625, 361 on a calculator?

You can find the GCD of 890, 317, 625, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.