GCD of 205, 758, 685 Calculator

Given Input numbers are 205, 758, 685

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 205, 758, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 758, 685 is 1.

Therefore, GCD of numbers 205, 758, 685 is 1

Given Input Data is 205, 758, 685

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 758 is 2 x 379

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(205, 758) = 155390

GCD(205, 758) = ( 205 x 758 ) / 155390

GCD(205, 758) = 155390 / 155390

GCD(205, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 205, 758, 685 is 1

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1. What is the GCD of 205, 758, 685?

GCD of 205, 758, 685 is 1

2. Where do I get the detailed procedure to find GCD of 205, 758, 685?

You can find a detailed procedure to find GCD of 205, 758, 685 on our page.

3. How to find GCD of 205, 758, 685 on a calculator?

You can find the GCD of 205, 758, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.