GCD of 164, 867, 111, 704 Calculator

Given Input numbers are 164, 867, 111, 704

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 164, 867, 111, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 867, 111, 704 is 1.

Therefore, GCD of numbers 164, 867, 111, 704 is 1

Given Input Data is 164, 867, 111, 704

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 867 is 3 x 17 x 17

Prime Factorization of 111 is 3 x 37

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 867) = 142188

GCD(164, 867) = ( 164 x 867 ) / 142188

GCD(164, 867) = 142188 / 142188

GCD(164, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 164, 867, 111, 704 is 1

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1. What is the GCD of 164, 867, 111, 704?

GCD of 164, 867, 111, 704 is 1

2. Where do I get the detailed procedure to find GCD of 164, 867, 111, 704?

You can find a detailed procedure to find GCD of 164, 867, 111, 704 on our page.

3. How to find GCD of 164, 867, 111, 704 on a calculator?

You can find the GCD of 164, 867, 111, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.