GCD of 854, 221, 408 Calculator

Given Input numbers are 854, 221, 408

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 221

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

1, 13, 17, 221

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 854, 221, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 221, 408 is 1.

Therefore, GCD of numbers 854, 221, 408 is 1

Given Input Data is 854, 221, 408

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 221 is 13 x 17

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(854, 221) = 188734

GCD(854, 221) = ( 854 x 221 ) / 188734

GCD(854, 221) = 188734 / 188734

GCD(854, 221) = 1

Step2:

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 854, 221, 408 is 1

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1. What is the GCD of 854, 221, 408?

GCD of 854, 221, 408 is 1

2. Where do I get the detailed procedure to find GCD of 854, 221, 408?

You can find a detailed procedure to find GCD of 854, 221, 408 on our page.

3. How to find GCD of 854, 221, 408 on a calculator?

You can find the GCD of 854, 221, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.