GCD of 10, 228, 844, 461 Calculator

Given Input numbers are 10, 228, 844, 461

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 10, 228, 844, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 228, 844, 461 is 1.

Therefore, GCD of numbers 10, 228, 844, 461 is 1

Given Input Data is 10, 228, 844, 461

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 461 is 461

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(10, 228) = 1140

GCD(10, 228) = ( 10 x 228 ) / 1140

GCD(10, 228) = 2280 / 1140

GCD(10, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

GCD of 10, 228, 844, 461 is 1

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• GCD of 75, 710, 322, 427
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1. What is the GCD of 10, 228, 844, 461?

GCD of 10, 228, 844, 461 is 1

2. Where do I get the detailed procedure to find GCD of 10, 228, 844, 461?

You can find a detailed procedure to find GCD of 10, 228, 844, 461 on our page.

3. How to find GCD of 10, 228, 844, 461 on a calculator?

You can find the GCD of 10, 228, 844, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.