GCD of 409, 208, 654, 982 Calculator

Given Input numbers are 409, 208, 654, 982

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

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 409, 208, 654, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 208, 654, 982 is 1.

Therefore, GCD of numbers 409, 208, 654, 982 is 1

Given Input Data is 409, 208, 654, 982

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

Prime Factorization of 409 is 409

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 982 is 2 x 491

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(409, 208) = 85072

GCD(409, 208) = ( 409 x 208 ) / 85072

GCD(409, 208) = 85072 / 85072

GCD(409, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 409, 208, 654, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 493, 725, 173
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• GCD of 527, 656, 140, 443

1. What is the GCD of 409, 208, 654, 982?

GCD of 409, 208, 654, 982 is 1

2. Where do I get the detailed procedure to find GCD of 409, 208, 654, 982?

You can find a detailed procedure to find GCD of 409, 208, 654, 982 on our page.

3. How to find GCD of 409, 208, 654, 982 on a calculator?

You can find the GCD of 409, 208, 654, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.