GCD of 449, 682, 925 Calculator

Given Input numbers are 449, 682, 925

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 449, 682, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 682, 925 is 1.

Therefore, GCD of numbers 449, 682, 925 is 1

Given Input Data is 449, 682, 925

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

Prime Factorization of 449 is 449

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 925 is 5 x 5 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(449, 682) = 306218

GCD(449, 682) = ( 449 x 682 ) / 306218

GCD(449, 682) = 306218 / 306218

GCD(449, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

GCD of 449, 682, 925 is 1

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1. What is the GCD of 449, 682, 925?

GCD of 449, 682, 925 is 1

2. Where do I get the detailed procedure to find GCD of 449, 682, 925?

You can find a detailed procedure to find GCD of 449, 682, 925 on our page.

3. How to find GCD of 449, 682, 925 on a calculator?

You can find the GCD of 449, 682, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.