GCD of 894, 376, 578, 221 Calculator

Given Input numbers are 894, 376, 578, 221

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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 894, 376, 578, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 376, 578, 221 is 1.

Therefore, GCD of numbers 894, 376, 578, 221 is 1

Given Input Data is 894, 376, 578, 221

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

Prime Factorization of 894 is 2 x 3 x 149

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

Prime Factorization of 578 is 2 x 17 x 17

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(894, 376) = 168072

GCD(894, 376) = ( 894 x 376 ) / 168072

GCD(894, 376) = 336144 / 168072

GCD(894, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 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 894, 376, 578, 221 is 1

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1. What is the GCD of 894, 376, 578, 221?

GCD of 894, 376, 578, 221 is 1

2. Where do I get the detailed procedure to find GCD of 894, 376, 578, 221?

You can find a detailed procedure to find GCD of 894, 376, 578, 221 on our page.

3. How to find GCD of 894, 376, 578, 221 on a calculator?

You can find the GCD of 894, 376, 578, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.