GCD of 289, 225, 620 Calculator

Given Input numbers are 289, 225, 620

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 289, 225, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 225, 620 is 1.

Therefore, GCD of numbers 289, 225, 620 is 1

Given Input Data is 289, 225, 620

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 620 is 2 x 2 x 5 x 31

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, 225) = 65025

GCD(289, 225) = ( 289 x 225 ) / 65025

GCD(289, 225) = 65025 / 65025

GCD(289, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 289, 225, 620 is 1

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1. What is the GCD of 289, 225, 620?

GCD of 289, 225, 620 is 1

2. Where do I get the detailed procedure to find GCD of 289, 225, 620?

You can find a detailed procedure to find GCD of 289, 225, 620 on our page.

3. How to find GCD of 289, 225, 620 on a calculator?

You can find the GCD of 289, 225, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.