GCD of 369, 539, 196, 563 Calculator

Given Input numbers are 369, 539, 196, 563

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 539

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

1, 7, 11, 49, 77, 539

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 369, 539, 196, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 539, 196, 563 is 1.

Therefore, GCD of numbers 369, 539, 196, 563 is 1

Given Input Data is 369, 539, 196, 563

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 563 is 563

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(369, 539) = 198891

GCD(369, 539) = ( 369 x 539 ) / 198891

GCD(369, 539) = 198891 / 198891

GCD(369, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 369, 539, 196, 563 is 1

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1. What is the GCD of 369, 539, 196, 563?

GCD of 369, 539, 196, 563 is 1

2. Where do I get the detailed procedure to find GCD of 369, 539, 196, 563?

You can find a detailed procedure to find GCD of 369, 539, 196, 563 on our page.

3. How to find GCD of 369, 539, 196, 563 on a calculator?

You can find the GCD of 369, 539, 196, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.