GCD of 425, 986, 727, 682 Calculator

Given Input numbers are 425, 986, 727, 682

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

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 682

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

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

Greatest Common Divisior

We found the divisors of 425, 986, 727, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 986, 727, 682 is 1.

Therefore, GCD of numbers 425, 986, 727, 682 is 1

Given Input Data is 425, 986, 727, 682

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

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 727 is 727

Prime Factorization of 682 is 2 x 11 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(425, 986) = 24650

GCD(425, 986) = ( 425 x 986 ) / 24650

GCD(425, 986) = 419050 / 24650

GCD(425, 986) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 727

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

LCM(17, 727) = 12359

GCD(17, 727) = ( 17 x 727 ) / 12359

GCD(17, 727) = 12359 / 12359

GCD(17, 727) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 425, 986, 727, 682 is 1

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1. What is the GCD of 425, 986, 727, 682?

GCD of 425, 986, 727, 682 is 1

2. Where do I get the detailed procedure to find GCD of 425, 986, 727, 682?

You can find a detailed procedure to find GCD of 425, 986, 727, 682 on our page.

3. How to find GCD of 425, 986, 727, 682 on a calculator?

You can find the GCD of 425, 986, 727, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.