GCD of 609, 380, 705 Calculator

Given Input numbers are 609, 380, 705

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 609, 380, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 380, 705 is 1.

Therefore, GCD of numbers 609, 380, 705 is 1

Given Input Data is 609, 380, 705

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 705 is 3 x 5 x 47

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(609, 380) = 231420

GCD(609, 380) = ( 609 x 380 ) / 231420

GCD(609, 380) = 231420 / 231420

GCD(609, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 609, 380, 705 is 1

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1. What is the GCD of 609, 380, 705?

GCD of 609, 380, 705 is 1

2. Where do I get the detailed procedure to find GCD of 609, 380, 705?

You can find a detailed procedure to find GCD of 609, 380, 705 on our page.

3. How to find GCD of 609, 380, 705 on a calculator?

You can find the GCD of 609, 380, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.