GCD of 842, 269, 39, 164 Calculator

Given Input numbers are 842, 269, 39, 164

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

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 842, 269, 39, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 269, 39, 164 is 1.

Therefore, GCD of numbers 842, 269, 39, 164 is 1

Given Input Data is 842, 269, 39, 164

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 269 is 269

Prime Factorization of 39 is 3 x 13

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(842, 269) = 226498

GCD(842, 269) = ( 842 x 269 ) / 226498

GCD(842, 269) = 226498 / 226498

GCD(842, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 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 842, 269, 39, 164 is 1

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1. What is the GCD of 842, 269, 39, 164?

GCD of 842, 269, 39, 164 is 1

2. Where do I get the detailed procedure to find GCD of 842, 269, 39, 164?

You can find a detailed procedure to find GCD of 842, 269, 39, 164 on our page.

3. How to find GCD of 842, 269, 39, 164 on a calculator?

You can find the GCD of 842, 269, 39, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.