GCD of 401, 921, 920, 415 Calculator

Given Input numbers are 401, 921, 920, 415

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 401, 921, 920, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 921, 920, 415 is 1.

Therefore, GCD of numbers 401, 921, 920, 415 is 1

Given Input Data is 401, 921, 920, 415

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

Prime Factorization of 401 is 401

Prime Factorization of 921 is 3 x 307

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 415 is 5 x 83

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(401, 921) = 369321

GCD(401, 921) = ( 401 x 921 ) / 369321

GCD(401, 921) = 369321 / 369321

GCD(401, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 401, 921, 920, 415 is 1

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1. What is the GCD of 401, 921, 920, 415?

GCD of 401, 921, 920, 415 is 1

2. Where do I get the detailed procedure to find GCD of 401, 921, 920, 415?

You can find a detailed procedure to find GCD of 401, 921, 920, 415 on our page.

3. How to find GCD of 401, 921, 920, 415 on a calculator?

You can find the GCD of 401, 921, 920, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.