GCD of 100, 324, 886, 221 Calculator

Given Input numbers are 100, 324, 886, 221

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 100, 324, 886, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 324, 886, 221 is 1.

Therefore, GCD of numbers 100, 324, 886, 221 is 1

Given Input Data is 100, 324, 886, 221

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 886 is 2 x 443

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(100, 324) = 8100

GCD(100, 324) = ( 100 x 324 ) / 8100

GCD(100, 324) = 32400 / 8100

GCD(100, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 100, 324, 886, 221 is 1

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1. What is the GCD of 100, 324, 886, 221?

GCD of 100, 324, 886, 221 is 1

2. Where do I get the detailed procedure to find GCD of 100, 324, 886, 221?

You can find a detailed procedure to find GCD of 100, 324, 886, 221 on our page.

3. How to find GCD of 100, 324, 886, 221 on a calculator?

You can find the GCD of 100, 324, 886, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.