GCD of 169, 627, 41, 342 Calculator

Given Input numbers are 169, 627, 41, 342

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 169, 627, 41, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 627, 41, 342 is 1.

Therefore, GCD of numbers 169, 627, 41, 342 is 1

Given Input Data is 169, 627, 41, 342

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 41 is 41

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(169, 627) = 105963

GCD(169, 627) = ( 169 x 627 ) / 105963

GCD(169, 627) = 105963 / 105963

GCD(169, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 169, 627, 41, 342 is 1

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1. What is the GCD of 169, 627, 41, 342?

GCD of 169, 627, 41, 342 is 1

2. Where do I get the detailed procedure to find GCD of 169, 627, 41, 342?

You can find a detailed procedure to find GCD of 169, 627, 41, 342 on our page.

3. How to find GCD of 169, 627, 41, 342 on a calculator?

You can find the GCD of 169, 627, 41, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.