GCD of 409, 949, 482, 407 Calculator

Given Input numbers are 409, 949, 482, 407

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 409, 949, 482, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 409, 949, 482, 407 is 1.

Therefore, GCD of numbers 409, 949, 482, 407 is 1

Given Input Data is 409, 949, 482, 407

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

Prime Factorization of 409 is 409

Prime Factorization of 949 is 13 x 73

Prime Factorization of 482 is 2 x 241

Prime Factorization of 407 is 11 x 37

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, 949) = 388141

GCD(409, 949) = ( 409 x 949 ) / 388141

GCD(409, 949) = 388141 / 388141

GCD(409, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 482

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

LCM(1, 482) = 482

GCD(1, 482) = ( 1 x 482 ) / 482

GCD(1, 482) = 482 / 482

GCD(1, 482) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 409, 949, 482, 407 is 1

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1. What is the GCD of 409, 949, 482, 407?

GCD of 409, 949, 482, 407 is 1

2. Where do I get the detailed procedure to find GCD of 409, 949, 482, 407?

You can find a detailed procedure to find GCD of 409, 949, 482, 407 on our page.

3. How to find GCD of 409, 949, 482, 407 on a calculator?

You can find the GCD of 409, 949, 482, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.