GCD of 221, 560, 663, 970 Calculator

Given Input numbers are 221, 560, 663, 970

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 221, 560, 663, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 560, 663, 970 is 1.

Therefore, GCD of numbers 221, 560, 663, 970 is 1

Given Input Data is 221, 560, 663, 970

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 970 is 2 x 5 x 97

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, 560) = 123760

GCD(221, 560) = ( 221 x 560 ) / 123760

GCD(221, 560) = 123760 / 123760

GCD(221, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 221, 560, 663, 970 is 1

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1. What is the GCD of 221, 560, 663, 970?

GCD of 221, 560, 663, 970 is 1

2. Where do I get the detailed procedure to find GCD of 221, 560, 663, 970?

You can find a detailed procedure to find GCD of 221, 560, 663, 970 on our page.

3. How to find GCD of 221, 560, 663, 970 on a calculator?

You can find the GCD of 221, 560, 663, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.