GCD of 173, 842, 29, 354 Calculator

Given Input numbers are 173, 842, 29, 354

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 173, 842, 29, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 842, 29, 354 is 1.

Therefore, GCD of numbers 173, 842, 29, 354 is 1

Given Input Data is 173, 842, 29, 354

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

Prime Factorization of 173 is 173

Prime Factorization of 842 is 2 x 421

Prime Factorization of 29 is 29

Prime Factorization of 354 is 2 x 3 x 59

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(173, 842) = 145666

GCD(173, 842) = ( 173 x 842 ) / 145666

GCD(173, 842) = 145666 / 145666

GCD(173, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 173, 842, 29, 354 is 1

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1. What is the GCD of 173, 842, 29, 354?

GCD of 173, 842, 29, 354 is 1

2. Where do I get the detailed procedure to find GCD of 173, 842, 29, 354?

You can find a detailed procedure to find GCD of 173, 842, 29, 354 on our page.

3. How to find GCD of 173, 842, 29, 354 on a calculator?

You can find the GCD of 173, 842, 29, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.