GCD of 625, 404, 214 Calculator

Given Input numbers are 625, 404, 214

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

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 625, 404, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 404, 214 is 1.

Therefore, GCD of numbers 625, 404, 214 is 1

Given Input Data is 625, 404, 214

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

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 214 is 2 x 107

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(625, 404) = 252500

GCD(625, 404) = ( 625 x 404 ) / 252500

GCD(625, 404) = 252500 / 252500

GCD(625, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 625, 404, 214 is 1

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• GCD of 861, 770, 677
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1. What is the GCD of 625, 404, 214?

GCD of 625, 404, 214 is 1

2. Where do I get the detailed procedure to find GCD of 625, 404, 214?

You can find a detailed procedure to find GCD of 625, 404, 214 on our page.

3. How to find GCD of 625, 404, 214 on a calculator?

You can find the GCD of 625, 404, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.