GCD of 189, 959, 685 Calculator

Given Input numbers are 189, 959, 685

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

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 189, 959, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 959, 685 is 1.

Therefore, GCD of numbers 189, 959, 685 is 1

Given Input Data is 189, 959, 685

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 959 is 7 x 137

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(189, 959) = 25893

GCD(189, 959) = ( 189 x 959 ) / 25893

GCD(189, 959) = 181251 / 25893

GCD(189, 959) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 685

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

LCM(7, 685) = 4795

GCD(7, 685) = ( 7 x 685 ) / 4795

GCD(7, 685) = 4795 / 4795

GCD(7, 685) = 1

GCD of 189, 959, 685 is 1

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1. What is the GCD of 189, 959, 685?

GCD of 189, 959, 685 is 1

2. Where do I get the detailed procedure to find GCD of 189, 959, 685?

You can find a detailed procedure to find GCD of 189, 959, 685 on our page.

3. How to find GCD of 189, 959, 685 on a calculator?

You can find the GCD of 189, 959, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.