GCD of 221, 722, 647, 961 Calculator

Given Input numbers are 221, 722, 647, 961

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

Divisors of 221

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

1, 13, 17, 221

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 221, 722, 647, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 722, 647, 961 is 1.

Therefore, GCD of numbers 221, 722, 647, 961 is 1

Given Input Data is 221, 722, 647, 961

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 647 is 647

Prime Factorization of 961 is 31 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(221, 722) = 159562

GCD(221, 722) = ( 221 x 722 ) / 159562

GCD(221, 722) = 159562 / 159562

GCD(221, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 221, 722, 647, 961 is 1

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1. What is the GCD of 221, 722, 647, 961?

GCD of 221, 722, 647, 961 is 1

2. Where do I get the detailed procedure to find GCD of 221, 722, 647, 961?

You can find a detailed procedure to find GCD of 221, 722, 647, 961 on our page.

3. How to find GCD of 221, 722, 647, 961 on a calculator?

You can find the GCD of 221, 722, 647, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.