GCD of 413, 845, 76, 355 Calculator

Given Input numbers are 413, 845, 76, 355

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

Divisors of 413

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

1, 7, 59, 413

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 413, 845, 76, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 845, 76, 355 is 1.

Therefore, GCD of numbers 413, 845, 76, 355 is 1

Given Input Data is 413, 845, 76, 355

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 355 is 5 x 71

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(413, 845) = 348985

GCD(413, 845) = ( 413 x 845 ) / 348985

GCD(413, 845) = 348985 / 348985

GCD(413, 845) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 413, 845, 76, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 556, 57, 193
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• GCD of 329, 290, 12, 271

1. What is the GCD of 413, 845, 76, 355?

GCD of 413, 845, 76, 355 is 1

2. Where do I get the detailed procedure to find GCD of 413, 845, 76, 355?

You can find a detailed procedure to find GCD of 413, 845, 76, 355 on our page.

3. How to find GCD of 413, 845, 76, 355 on a calculator?

You can find the GCD of 413, 845, 76, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.