GCD of 838, 986, 446 Calculator

Given Input numbers are 838, 986, 446

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 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 838, 986, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 986, 446 is 2.

Therefore, GCD of numbers 838, 986, 446 is 2

Given Input Data is 838, 986, 446

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 446 is 2 x 223

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 986) = 413134

GCD(838, 986) = ( 838 x 986 ) / 413134

GCD(838, 986) = 826268 / 413134

GCD(838, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 838, 986, 446 is 2

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1. What is the GCD of 838, 986, 446?

GCD of 838, 986, 446 is 2

2. Where do I get the detailed procedure to find GCD of 838, 986, 446?

You can find a detailed procedure to find GCD of 838, 986, 446 on our page.

3. How to find GCD of 838, 986, 446 on a calculator?

You can find the GCD of 838, 986, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.