GCD of 838, 459, 646, 985 Calculator

Given Input numbers are 838, 459, 646, 985

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 838, 459, 646, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 459, 646, 985 is 1.

Therefore, GCD of numbers 838, 459, 646, 985 is 1

Given Input Data is 838, 459, 646, 985

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 985 is 5 x 197

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, 459) = 384642

GCD(838, 459) = ( 838 x 459 ) / 384642

GCD(838, 459) = 384642 / 384642

GCD(838, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 838, 459, 646, 985 is 1

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1. What is the GCD of 838, 459, 646, 985?

GCD of 838, 459, 646, 985 is 1

2. Where do I get the detailed procedure to find GCD of 838, 459, 646, 985?

You can find a detailed procedure to find GCD of 838, 459, 646, 985 on our page.

3. How to find GCD of 838, 459, 646, 985 on a calculator?

You can find the GCD of 838, 459, 646, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.