GCD of 461, 338, 406, 365 Calculator

Given Input numbers are 461, 338, 406, 365

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 461, 338, 406, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 338, 406, 365 is 1.

Therefore, GCD of numbers 461, 338, 406, 365 is 1

Given Input Data is 461, 338, 406, 365

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

Prime Factorization of 461 is 461

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 365 is 5 x 73

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(461, 338) = 155818

GCD(461, 338) = ( 461 x 338 ) / 155818

GCD(461, 338) = 155818 / 155818

GCD(461, 338) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 461, 338, 406, 365 is 1

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• GCD of 909, 425, 615, 477
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1. What is the GCD of 461, 338, 406, 365?

GCD of 461, 338, 406, 365 is 1

2. Where do I get the detailed procedure to find GCD of 461, 338, 406, 365?

You can find a detailed procedure to find GCD of 461, 338, 406, 365 on our page.

3. How to find GCD of 461, 338, 406, 365 on a calculator?

You can find the GCD of 461, 338, 406, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.