GCD of 289, 325, 31, 325 Calculator

Given Input numbers are 289, 325, 31, 325

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 289, 325, 31, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 325, 31, 325 is 1.

Therefore, GCD of numbers 289, 325, 31, 325 is 1

Given Input Data is 289, 325, 31, 325

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 31 is 31

Prime Factorization of 325 is 5 x 5 x 13

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(289, 325) = 93925

GCD(289, 325) = ( 289 x 325 ) / 93925

GCD(289, 325) = 93925 / 93925

GCD(289, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 289, 325, 31, 325 is 1

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1. What is the GCD of 289, 325, 31, 325?

GCD of 289, 325, 31, 325 is 1

2. Where do I get the detailed procedure to find GCD of 289, 325, 31, 325?

You can find a detailed procedure to find GCD of 289, 325, 31, 325 on our page.

3. How to find GCD of 289, 325, 31, 325 on a calculator?

You can find the GCD of 289, 325, 31, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.