GCD of 221, 360, 763, 218 Calculator

Given Input numbers are 221, 360, 763, 218

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 221, 360, 763, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 360, 763, 218 is 1.

Therefore, GCD of numbers 221, 360, 763, 218 is 1

Given Input Data is 221, 360, 763, 218

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 763 is 7 x 109

Prime Factorization of 218 is 2 x 109

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, 360) = 79560

GCD(221, 360) = ( 221 x 360 ) / 79560

GCD(221, 360) = 79560 / 79560

GCD(221, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 221, 360, 763, 218 is 1

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• GCD of 788, 689, 593, 768
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1. What is the GCD of 221, 360, 763, 218?

GCD of 221, 360, 763, 218 is 1

2. Where do I get the detailed procedure to find GCD of 221, 360, 763, 218?

You can find a detailed procedure to find GCD of 221, 360, 763, 218 on our page.

3. How to find GCD of 221, 360, 763, 218 on a calculator?

You can find the GCD of 221, 360, 763, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.