GCD of 883, 354, 353, 164 Calculator

Given Input numbers are 883, 354, 353, 164

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

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 354

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

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 883, 354, 353, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 883, 354, 353, 164 is 1.

Therefore, GCD of numbers 883, 354, 353, 164 is 1

Given Input Data is 883, 354, 353, 164

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

Prime Factorization of 883 is 883

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 353 is 353

Prime Factorization of 164 is 2 x 2 x 41

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(883, 354) = 312582

GCD(883, 354) = ( 883 x 354 ) / 312582

GCD(883, 354) = 312582 / 312582

GCD(883, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 883, 354, 353, 164 is 1

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1. What is the GCD of 883, 354, 353, 164?

GCD of 883, 354, 353, 164 is 1

2. Where do I get the detailed procedure to find GCD of 883, 354, 353, 164?

You can find a detailed procedure to find GCD of 883, 354, 353, 164 on our page.

3. How to find GCD of 883, 354, 353, 164 on a calculator?

You can find the GCD of 883, 354, 353, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.