GCD of 838, 164, 849 Calculator

Given Input numbers are 838, 164, 849

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 838, 164, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 164, 849 is 1.

Therefore, GCD of numbers 838, 164, 849 is 1

Given Input Data is 838, 164, 849

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 849 is 3 x 283

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(838, 164) = 68716

GCD(838, 164) = ( 838 x 164 ) / 68716

GCD(838, 164) = 137432 / 68716

GCD(838, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 838, 164, 849 is 1

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1. What is the GCD of 838, 164, 849?

GCD of 838, 164, 849 is 1

2. Where do I get the detailed procedure to find GCD of 838, 164, 849?

You can find a detailed procedure to find GCD of 838, 164, 849 on our page.

3. How to find GCD of 838, 164, 849 on a calculator?

You can find the GCD of 838, 164, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.