GCD of 75, 657, 243, 241 Calculator

Given Input numbers are 75, 657, 243, 241

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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 75, 657, 243, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 657, 243, 241 is 1.

Therefore, GCD of numbers 75, 657, 243, 241 is 1

Given Input Data is 75, 657, 243, 241

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(75, 657) = 16425

GCD(75, 657) = ( 75 x 657 ) / 16425

GCD(75, 657) = 49275 / 16425

GCD(75, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 241

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

LCM(3, 241) = 723

GCD(3, 241) = ( 3 x 241 ) / 723

GCD(3, 241) = 723 / 723

GCD(3, 241) = 1

GCD of 75, 657, 243, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 455, 397, 161
• GCD of 64, 180, 514, 879
• GCD of 76, 106, 976, 924
• GCD of 89, 402, 523, 744
• GCD of 53, 801, 780, 122

1. What is the GCD of 75, 657, 243, 241?

GCD of 75, 657, 243, 241 is 1

2. Where do I get the detailed procedure to find GCD of 75, 657, 243, 241?

You can find a detailed procedure to find GCD of 75, 657, 243, 241 on our page.

3. How to find GCD of 75, 657, 243, 241 on a calculator?

You can find the GCD of 75, 657, 243, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.