GCD of 382, 454, 15, 461 Calculator

Given Input numbers are 382, 454, 15, 461

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 461

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

1, 461

Greatest Common Divisior

We found the divisors of 382, 454, 15, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 454, 15, 461 is 1.

Therefore, GCD of numbers 382, 454, 15, 461 is 1

Given Input Data is 382, 454, 15, 461

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 454 is 2 x 227

Prime Factorization of 15 is 3 x 5

Prime Factorization of 461 is 461

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(382, 454) = 86714

GCD(382, 454) = ( 382 x 454 ) / 86714

GCD(382, 454) = 173428 / 86714

GCD(382, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

GCD of 382, 454, 15, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 687, 27, 911
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• GCD of 468, 733, 52, 714
• GCD of 702, 513, 84, 740
• GCD of 276, 649, 30, 893

1. What is the GCD of 382, 454, 15, 461?

GCD of 382, 454, 15, 461 is 1

2. Where do I get the detailed procedure to find GCD of 382, 454, 15, 461?

You can find a detailed procedure to find GCD of 382, 454, 15, 461 on our page.

3. How to find GCD of 382, 454, 15, 461 on a calculator?

You can find the GCD of 382, 454, 15, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.