GCD of 164, 714, 345, 884 Calculator

Given Input numbers are 164, 714, 345, 884

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

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

Greatest Common Divisior

We found the divisors of 164, 714, 345, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 714, 345, 884 is 1.

Therefore, GCD of numbers 164, 714, 345, 884 is 1

Given Input Data is 164, 714, 345, 884

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 345 is 3 x 5 x 23

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

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(164, 714) = 58548

GCD(164, 714) = ( 164 x 714 ) / 58548

GCD(164, 714) = 117096 / 58548

GCD(164, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 164, 714, 345, 884 is 1

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1. What is the GCD of 164, 714, 345, 884?

GCD of 164, 714, 345, 884 is 1

2. Where do I get the detailed procedure to find GCD of 164, 714, 345, 884?

You can find a detailed procedure to find GCD of 164, 714, 345, 884 on our page.

3. How to find GCD of 164, 714, 345, 884 on a calculator?

You can find the GCD of 164, 714, 345, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.