GCD of 229, 846, 443, 408 Calculator

Given Input numbers are 229, 846, 443, 408

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 229, 846, 443, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 846, 443, 408 is 1.

Therefore, GCD of numbers 229, 846, 443, 408 is 1

Given Input Data is 229, 846, 443, 408

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

Prime Factorization of 229 is 229

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 443 is 443

Prime Factorization of 408 is 2 x 2 x 2 x 3 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(229, 846) = 193734

GCD(229, 846) = ( 229 x 846 ) / 193734

GCD(229, 846) = 193734 / 193734

GCD(229, 846) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 229, 846, 443, 408 is 1

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1. What is the GCD of 229, 846, 443, 408?

GCD of 229, 846, 443, 408 is 1

2. Where do I get the detailed procedure to find GCD of 229, 846, 443, 408?

You can find a detailed procedure to find GCD of 229, 846, 443, 408 on our page.

3. How to find GCD of 229, 846, 443, 408 on a calculator?

You can find the GCD of 229, 846, 443, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.