GCD of 161, 598, 884, 349 Calculator

Given Input numbers are 161, 598, 884, 349

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 161, 598, 884, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 598, 884, 349 is 1.

Therefore, GCD of numbers 161, 598, 884, 349 is 1

Given Input Data is 161, 598, 884, 349

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 349 is 349

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(161, 598) = 4186

GCD(161, 598) = ( 161 x 598 ) / 4186

GCD(161, 598) = 96278 / 4186

GCD(161, 598) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 884

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

LCM(23, 884) = 20332

GCD(23, 884) = ( 23 x 884 ) / 20332

GCD(23, 884) = 20332 / 20332

GCD(23, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 161, 598, 884, 349 is 1

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1. What is the GCD of 161, 598, 884, 349?

GCD of 161, 598, 884, 349 is 1

2. Where do I get the detailed procedure to find GCD of 161, 598, 884, 349?

You can find a detailed procedure to find GCD of 161, 598, 884, 349 on our page.

3. How to find GCD of 161, 598, 884, 349 on a calculator?

You can find the GCD of 161, 598, 884, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.