GCD of 199, 542, 53, 694 Calculator

Given Input numbers are 199, 542, 53, 694

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 542

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

1, 2, 271, 542

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 199, 542, 53, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 542, 53, 694 is 1.

Therefore, GCD of numbers 199, 542, 53, 694 is 1

Given Input Data is 199, 542, 53, 694

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

Prime Factorization of 199 is 199

Prime Factorization of 542 is 2 x 271

Prime Factorization of 53 is 53

Prime Factorization of 694 is 2 x 347

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(199, 542) = 107858

GCD(199, 542) = ( 199 x 542 ) / 107858

GCD(199, 542) = 107858 / 107858

GCD(199, 542) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 199, 542, 53, 694 is 1

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1. What is the GCD of 199, 542, 53, 694?

GCD of 199, 542, 53, 694 is 1

2. Where do I get the detailed procedure to find GCD of 199, 542, 53, 694?

You can find a detailed procedure to find GCD of 199, 542, 53, 694 on our page.

3. How to find GCD of 199, 542, 53, 694 on a calculator?

You can find the GCD of 199, 542, 53, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.