GCD of 561, 433, 171, 343 Calculator

Given Input numbers are 561, 433, 171, 343

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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 561, 433, 171, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 433, 171, 343 is 1.

Therefore, GCD of numbers 561, 433, 171, 343 is 1

Given Input Data is 561, 433, 171, 343

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 433 is 433

Prime Factorization of 171 is 3 x 3 x 19

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(561, 433) = 242913

GCD(561, 433) = ( 561 x 433 ) / 242913

GCD(561, 433) = 242913 / 242913

GCD(561, 433) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 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 561, 433, 171, 343 is 1

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1. What is the GCD of 561, 433, 171, 343?

GCD of 561, 433, 171, 343 is 1

2. Where do I get the detailed procedure to find GCD of 561, 433, 171, 343?

You can find a detailed procedure to find GCD of 561, 433, 171, 343 on our page.

3. How to find GCD of 561, 433, 171, 343 on a calculator?

You can find the GCD of 561, 433, 171, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.