GCD of 461, 338, 596, 449 Calculator

Given Input numbers are 461, 338, 596, 449

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 461, 338, 596, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 338, 596, 449 is 1.

Therefore, GCD of numbers 461, 338, 596, 449 is 1

Given Input Data is 461, 338, 596, 449

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 596 is 2 x 2 x 149

Prime Factorization of 449 is 449

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 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 461, 338, 596, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 167, 663, 697
• GCD of 138, 816, 138, 133
• GCD of 124, 958, 257, 432
• GCD of 617, 826, 153, 294
• GCD of 658, 874, 642, 859

1. What is the GCD of 461, 338, 596, 449?

GCD of 461, 338, 596, 449 is 1

2. Where do I get the detailed procedure to find GCD of 461, 338, 596, 449?

You can find a detailed procedure to find GCD of 461, 338, 596, 449 on our page.

3. How to find GCD of 461, 338, 596, 449 on a calculator?

You can find the GCD of 461, 338, 596, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.