GCD of 242, 573, 89, 343 Calculator

Given Input numbers are 242, 573, 89, 343

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

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 242, 573, 89, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 573, 89, 343 is 1.

Therefore, GCD of numbers 242, 573, 89, 343 is 1

Given Input Data is 242, 573, 89, 343

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 573 is 3 x 191

Prime Factorization of 89 is 89

Prime Factorization of 343 is 7 x 7 x 7

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(242, 573) = 138666

GCD(242, 573) = ( 242 x 573 ) / 138666

GCD(242, 573) = 138666 / 138666

GCD(242, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 242, 573, 89, 343 is 1

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1. What is the GCD of 242, 573, 89, 343?

GCD of 242, 573, 89, 343 is 1

2. Where do I get the detailed procedure to find GCD of 242, 573, 89, 343?

You can find a detailed procedure to find GCD of 242, 573, 89, 343 on our page.

3. How to find GCD of 242, 573, 89, 343 on a calculator?

You can find the GCD of 242, 573, 89, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.