GCD of 206, 544, 791, 477 Calculator

Given Input numbers are 206, 544, 791, 477

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 206, 544, 791, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 544, 791, 477 is 1.

Therefore, GCD of numbers 206, 544, 791, 477 is 1

Given Input Data is 206, 544, 791, 477

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 791 is 7 x 113

Prime Factorization of 477 is 3 x 3 x 53

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(206, 544) = 56032

GCD(206, 544) = ( 206 x 544 ) / 56032

GCD(206, 544) = 112064 / 56032

GCD(206, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 791

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

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

GCD(2, 791) = 1582 / 1582

GCD(2, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 206, 544, 791, 477 is 1

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1. What is the GCD of 206, 544, 791, 477?

GCD of 206, 544, 791, 477 is 1

2. Where do I get the detailed procedure to find GCD of 206, 544, 791, 477?

You can find a detailed procedure to find GCD of 206, 544, 791, 477 on our page.

3. How to find GCD of 206, 544, 791, 477 on a calculator?

You can find the GCD of 206, 544, 791, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.