GCD of 301, 623, 841, 385 Calculator

Given Input numbers are 301, 623, 841, 385

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 301, 623, 841, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 623, 841, 385 is 1.

Therefore, GCD of numbers 301, 623, 841, 385 is 1

Given Input Data is 301, 623, 841, 385

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 623 is 7 x 89

Prime Factorization of 841 is 29 x 29

Prime Factorization of 385 is 5 x 7 x 11

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(301, 623) = 26789

GCD(301, 623) = ( 301 x 623 ) / 26789

GCD(301, 623) = 187523 / 26789

GCD(301, 623) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 841

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

LCM(7, 841) = 5887

GCD(7, 841) = ( 7 x 841 ) / 5887

GCD(7, 841) = 5887 / 5887

GCD(7, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 301, 623, 841, 385 is 1

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1. What is the GCD of 301, 623, 841, 385?

GCD of 301, 623, 841, 385 is 1

2. Where do I get the detailed procedure to find GCD of 301, 623, 841, 385?

You can find a detailed procedure to find GCD of 301, 623, 841, 385 on our page.

3. How to find GCD of 301, 623, 841, 385 on a calculator?

You can find the GCD of 301, 623, 841, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.