GCD of 893, 784, 221, 664 Calculator

Given Input numbers are 893, 784, 221, 664

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

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 893, 784, 221, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 784, 221, 664 is 1.

Therefore, GCD of numbers 893, 784, 221, 664 is 1

Given Input Data is 893, 784, 221, 664

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 221 is 13 x 17

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(893, 784) = 700112

GCD(893, 784) = ( 893 x 784 ) / 700112

GCD(893, 784) = 700112 / 700112

GCD(893, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 893, 784, 221, 664 is 1

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1. What is the GCD of 893, 784, 221, 664?

GCD of 893, 784, 221, 664 is 1

2. Where do I get the detailed procedure to find GCD of 893, 784, 221, 664?

You can find a detailed procedure to find GCD of 893, 784, 221, 664 on our page.

3. How to find GCD of 893, 784, 221, 664 on a calculator?

You can find the GCD of 893, 784, 221, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.