GCD of 697, 582, 981, 221 Calculator

Given Input numbers are 697, 582, 981, 221

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 697, 582, 981, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 582, 981, 221 is 1.

Therefore, GCD of numbers 697, 582, 981, 221 is 1

Given Input Data is 697, 582, 981, 221

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 221 is 13 x 17

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(697, 582) = 405654

GCD(697, 582) = ( 697 x 582 ) / 405654

GCD(697, 582) = 405654 / 405654

GCD(697, 582) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 697, 582, 981, 221 is 1

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1. What is the GCD of 697, 582, 981, 221?

GCD of 697, 582, 981, 221 is 1

2. Where do I get the detailed procedure to find GCD of 697, 582, 981, 221?

You can find a detailed procedure to find GCD of 697, 582, 981, 221 on our page.

3. How to find GCD of 697, 582, 981, 221 on a calculator?

You can find the GCD of 697, 582, 981, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.