GCD of 241, 414, 383, 302 Calculator

Given Input numbers are 241, 414, 383, 302

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 241, 414, 383, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 414, 383, 302 is 1.

Therefore, GCD of numbers 241, 414, 383, 302 is 1

Given Input Data is 241, 414, 383, 302

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

Prime Factorization of 241 is 241

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 383 is 383

Prime Factorization of 302 is 2 x 151

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, 414) = 99774

GCD(241, 414) = ( 241 x 414 ) / 99774

GCD(241, 414) = 99774 / 99774

GCD(241, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 241, 414, 383, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 697, 733, 510
• GCD of 138, 749, 598, 224
• GCD of 301, 248, 834, 941
• GCD of 546, 894, 350, 148
• GCD of 721, 168, 203, 232

1. What is the GCD of 241, 414, 383, 302?

GCD of 241, 414, 383, 302 is 1

2. Where do I get the detailed procedure to find GCD of 241, 414, 383, 302?

You can find a detailed procedure to find GCD of 241, 414, 383, 302 on our page.

3. How to find GCD of 241, 414, 383, 302 on a calculator?

You can find the GCD of 241, 414, 383, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.