GCD of 241, 971, 288, 475 Calculator

Given Input numbers are 241, 971, 288, 475

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

Divisors of 241

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

1, 241

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 241, 971, 288, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 971, 288, 475 is 1.

Therefore, GCD of numbers 241, 971, 288, 475 is 1

Given Input Data is 241, 971, 288, 475

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

Prime Factorization of 241 is 241

Prime Factorization of 971 is 971

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 475 is 5 x 5 x 19

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(241, 971) = 234011

GCD(241, 971) = ( 241 x 971 ) / 234011

GCD(241, 971) = 234011 / 234011

GCD(241, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 241, 971, 288, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 849, 533, 180
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• GCD of 468, 395, 560, 732
• GCD of 429, 567, 198, 554

1. What is the GCD of 241, 971, 288, 475?

GCD of 241, 971, 288, 475 is 1

2. Where do I get the detailed procedure to find GCD of 241, 971, 288, 475?

You can find a detailed procedure to find GCD of 241, 971, 288, 475 on our page.

3. How to find GCD of 241, 971, 288, 475 on a calculator?

You can find the GCD of 241, 971, 288, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.