GCD of 617, 542, 190, 289 Calculator

Given Input numbers are 617, 542, 190, 289

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 617, 542, 190, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 542, 190, 289 is 1.

Therefore, GCD of numbers 617, 542, 190, 289 is 1

Given Input Data is 617, 542, 190, 289

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

Prime Factorization of 617 is 617

Prime Factorization of 542 is 2 x 271

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 289 is 17 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(617, 542) = 334414

GCD(617, 542) = ( 617 x 542 ) / 334414

GCD(617, 542) = 334414 / 334414

GCD(617, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 617, 542, 190, 289 is 1

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1. What is the GCD of 617, 542, 190, 289?

GCD of 617, 542, 190, 289 is 1

2. Where do I get the detailed procedure to find GCD of 617, 542, 190, 289?

You can find a detailed procedure to find GCD of 617, 542, 190, 289 on our page.

3. How to find GCD of 617, 542, 190, 289 on a calculator?

You can find the GCD of 617, 542, 190, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.