GCD of 705, 659, 206 Calculator

Given Input numbers are 705, 659, 206

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 705, 659, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 659, 206 is 1.

Therefore, GCD of numbers 705, 659, 206 is 1

Given Input Data is 705, 659, 206

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 659 is 659

Prime Factorization of 206 is 2 x 103

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(705, 659) = 464595

GCD(705, 659) = ( 705 x 659 ) / 464595

GCD(705, 659) = 464595 / 464595

GCD(705, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 705, 659, 206 is 1

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1. What is the GCD of 705, 659, 206?

GCD of 705, 659, 206 is 1

2. Where do I get the detailed procedure to find GCD of 705, 659, 206?

You can find a detailed procedure to find GCD of 705, 659, 206 on our page.

3. How to find GCD of 705, 659, 206 on a calculator?

You can find the GCD of 705, 659, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.