GCD of 301, 154, 46, 241 Calculator

Given Input numbers are 301, 154, 46, 241

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 301, 154, 46, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 154, 46, 241 is 1.

Therefore, GCD of numbers 301, 154, 46, 241 is 1

Given Input Data is 301, 154, 46, 241

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 241 is 241

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, 154) = 6622

GCD(301, 154) = ( 301 x 154 ) / 6622

GCD(301, 154) = 46354 / 6622

GCD(301, 154) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 46

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

LCM(7, 46) = 322

GCD(7, 46) = ( 7 x 46 ) / 322

GCD(7, 46) = 322 / 322

GCD(7, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 301, 154, 46, 241 is 1

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1. What is the GCD of 301, 154, 46, 241?

GCD of 301, 154, 46, 241 is 1

2. Where do I get the detailed procedure to find GCD of 301, 154, 46, 241?

You can find a detailed procedure to find GCD of 301, 154, 46, 241 on our page.

3. How to find GCD of 301, 154, 46, 241 on a calculator?

You can find the GCD of 301, 154, 46, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.