GCD of 284, 376, 221 Calculator

Given Input numbers are 284, 376, 221

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 284, 376, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 376, 221 is 1.

Therefore, GCD of numbers 284, 376, 221 is 1

Given Input Data is 284, 376, 221

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(284, 376) = 26696

GCD(284, 376) = ( 284 x 376 ) / 26696

GCD(284, 376) = 106784 / 26696

GCD(284, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 221

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

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

GCD(4, 221) = 884 / 884

GCD(4, 221) = 1

GCD of 284, 376, 221 is 1

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1. What is the GCD of 284, 376, 221?

GCD of 284, 376, 221 is 1

2. Where do I get the detailed procedure to find GCD of 284, 376, 221?

You can find a detailed procedure to find GCD of 284, 376, 221 on our page.

3. How to find GCD of 284, 376, 221 on a calculator?

You can find the GCD of 284, 376, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.