GCD of 476, 230, 338, 891 Calculator

Given Input numbers are 476, 230, 338, 891

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 476, 230, 338, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 230, 338, 891 is 1.

Therefore, GCD of numbers 476, 230, 338, 891 is 1

Given Input Data is 476, 230, 338, 891

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(476, 230) = 54740

GCD(476, 230) = ( 476 x 230 ) / 54740

GCD(476, 230) = 109480 / 54740

GCD(476, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

GCD of 476, 230, 338, 891 is 1

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• GCD of 983, 683, 941, 991
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• GCD of 901, 910, 583, 912

1. What is the GCD of 476, 230, 338, 891?

GCD of 476, 230, 338, 891 is 1

2. Where do I get the detailed procedure to find GCD of 476, 230, 338, 891?

You can find a detailed procedure to find GCD of 476, 230, 338, 891 on our page.

3. How to find GCD of 476, 230, 338, 891 on a calculator?

You can find the GCD of 476, 230, 338, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.