GCD of 676, 287, 41, 241 Calculator

Given Input numbers are 676, 287, 41, 241

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 676, 287, 41, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 287, 41, 241 is 1.

Therefore, GCD of numbers 676, 287, 41, 241 is 1

Given Input Data is 676, 287, 41, 241

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 287 is 7 x 41

Prime Factorization of 41 is 41

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(676, 287) = 194012

GCD(676, 287) = ( 676 x 287 ) / 194012

GCD(676, 287) = 194012 / 194012

GCD(676, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 676, 287, 41, 241 is 1

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1. What is the GCD of 676, 287, 41, 241?

GCD of 676, 287, 41, 241 is 1

2. Where do I get the detailed procedure to find GCD of 676, 287, 41, 241?

You can find a detailed procedure to find GCD of 676, 287, 41, 241 on our page.

3. How to find GCD of 676, 287, 41, 241 on a calculator?

You can find the GCD of 676, 287, 41, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.