GCD of 843, 204, 90, 685 Calculator

Given Input numbers are 843, 204, 90, 685

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 843, 204, 90, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 204, 90, 685 is 1.

Therefore, GCD of numbers 843, 204, 90, 685 is 1

Given Input Data is 843, 204, 90, 685

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 685 is 5 x 137

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(843, 204) = 57324

GCD(843, 204) = ( 843 x 204 ) / 57324

GCD(843, 204) = 171972 / 57324

GCD(843, 204) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 685

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

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

GCD(3, 685) = 2055 / 2055

GCD(3, 685) = 1

GCD of 843, 204, 90, 685 is 1

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1. What is the GCD of 843, 204, 90, 685?

GCD of 843, 204, 90, 685 is 1

2. Where do I get the detailed procedure to find GCD of 843, 204, 90, 685?

You can find a detailed procedure to find GCD of 843, 204, 90, 685 on our page.

3. How to find GCD of 843, 204, 90, 685 on a calculator?

You can find the GCD of 843, 204, 90, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.