GCD of 340, 164, 22, 923 Calculator

Given Input numbers are 340, 164, 22, 923

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 340, 164, 22, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 164, 22, 923 is 1.

Therefore, GCD of numbers 340, 164, 22, 923 is 1

Given Input Data is 340, 164, 22, 923

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 22 is 2 x 11

Prime Factorization of 923 is 13 x 71

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(340, 164) = 13940

GCD(340, 164) = ( 340 x 164 ) / 13940

GCD(340, 164) = 55760 / 13940

GCD(340, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

GCD of 340, 164, 22, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 251, 21, 167
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1. What is the GCD of 340, 164, 22, 923?

GCD of 340, 164, 22, 923 is 1

2. Where do I get the detailed procedure to find GCD of 340, 164, 22, 923?

You can find a detailed procedure to find GCD of 340, 164, 22, 923 on our page.

3. How to find GCD of 340, 164, 22, 923 on a calculator?

You can find the GCD of 340, 164, 22, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.