GCD of 383, 297, 242, 345 Calculator

Given Input numbers are 383, 297, 242, 345

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

Divisors of 383

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

1, 383

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 383, 297, 242, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 297, 242, 345 is 1.

Therefore, GCD of numbers 383, 297, 242, 345 is 1

Given Input Data is 383, 297, 242, 345

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

Prime Factorization of 383 is 383

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 345 is 3 x 5 x 23

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(383, 297) = 113751

GCD(383, 297) = ( 383 x 297 ) / 113751

GCD(383, 297) = 113751 / 113751

GCD(383, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 383, 297, 242, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 329, 276, 271
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• GCD of 485, 948, 739, 409
• GCD of 644, 821, 697, 831
• GCD of 384, 418, 902, 742

1. What is the GCD of 383, 297, 242, 345?

GCD of 383, 297, 242, 345 is 1

2. Where do I get the detailed procedure to find GCD of 383, 297, 242, 345?

You can find a detailed procedure to find GCD of 383, 297, 242, 345 on our page.

3. How to find GCD of 383, 297, 242, 345 on a calculator?

You can find the GCD of 383, 297, 242, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.