GCD of 506, 203, 49, 773 Calculator

Given Input numbers are 506, 203, 49, 773

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 506, 203, 49, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 203, 49, 773 is 1.

Therefore, GCD of numbers 506, 203, 49, 773 is 1

Given Input Data is 506, 203, 49, 773

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 203 is 7 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 773 is 773

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(506, 203) = 102718

GCD(506, 203) = ( 506 x 203 ) / 102718

GCD(506, 203) = 102718 / 102718

GCD(506, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

GCD of 506, 203, 49, 773 is 1

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• GCD of 526, 710, 28, 114
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1. What is the GCD of 506, 203, 49, 773?

GCD of 506, 203, 49, 773 is 1

2. Where do I get the detailed procedure to find GCD of 506, 203, 49, 773?

You can find a detailed procedure to find GCD of 506, 203, 49, 773 on our page.

3. How to find GCD of 506, 203, 49, 773 on a calculator?

You can find the GCD of 506, 203, 49, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.