GCD of 461, 413, 815, 374 Calculator

Given Input numbers are 461, 413, 815, 374

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 461, 413, 815, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 413, 815, 374 is 1.

Therefore, GCD of numbers 461, 413, 815, 374 is 1

Given Input Data is 461, 413, 815, 374

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

Prime Factorization of 461 is 461

Prime Factorization of 413 is 7 x 59

Prime Factorization of 815 is 5 x 163

Prime Factorization of 374 is 2 x 11 x 17

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, 413) = 190393

GCD(461, 413) = ( 461 x 413 ) / 190393

GCD(461, 413) = 190393 / 190393

GCD(461, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 461, 413, 815, 374 is 1

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1. What is the GCD of 461, 413, 815, 374?

GCD of 461, 413, 815, 374 is 1

2. Where do I get the detailed procedure to find GCD of 461, 413, 815, 374?

You can find a detailed procedure to find GCD of 461, 413, 815, 374 on our page.

3. How to find GCD of 461, 413, 815, 374 on a calculator?

You can find the GCD of 461, 413, 815, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.