GCD of 189, 539, 296, 340 Calculator

Given Input numbers are 189, 539, 296, 340

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 189, 539, 296, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 539, 296, 340 is 1.

Therefore, GCD of numbers 189, 539, 296, 340 is 1

Given Input Data is 189, 539, 296, 340

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 539 is 7 x 7 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 340 is 2 x 2 x 5 x 17

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, 539) = 14553

GCD(189, 539) = ( 189 x 539 ) / 14553

GCD(189, 539) = 101871 / 14553

GCD(189, 539) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 296

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

LCM(7, 296) = 2072

GCD(7, 296) = ( 7 x 296 ) / 2072

GCD(7, 296) = 2072 / 2072

GCD(7, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 189, 539, 296, 340 is 1

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1. What is the GCD of 189, 539, 296, 340?

GCD of 189, 539, 296, 340 is 1

2. Where do I get the detailed procedure to find GCD of 189, 539, 296, 340?

You can find a detailed procedure to find GCD of 189, 539, 296, 340 on our page.

3. How to find GCD of 189, 539, 296, 340 on a calculator?

You can find the GCD of 189, 539, 296, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.