GCD of 408, 109, 983, 941 Calculator

Given Input numbers are 408, 109, 983, 941

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

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 408, 109, 983, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 109, 983, 941 is 1.

Therefore, GCD of numbers 408, 109, 983, 941 is 1

Given Input Data is 408, 109, 983, 941

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 109 is 109

Prime Factorization of 983 is 983

Prime Factorization of 941 is 941

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(408, 109) = 44472

GCD(408, 109) = ( 408 x 109 ) / 44472

GCD(408, 109) = 44472 / 44472

GCD(408, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

GCD of 408, 109, 983, 941 is 1

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1. What is the GCD of 408, 109, 983, 941?

GCD of 408, 109, 983, 941 is 1

2. Where do I get the detailed procedure to find GCD of 408, 109, 983, 941?

You can find a detailed procedure to find GCD of 408, 109, 983, 941 on our page.

3. How to find GCD of 408, 109, 983, 941 on a calculator?

You can find the GCD of 408, 109, 983, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.