GCD of 338, 530, 791, 777 Calculator

Given Input numbers are 338, 530, 791, 777

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 791

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

1, 7, 113, 791

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 338, 530, 791, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 530, 791, 777 is 1.

Therefore, GCD of numbers 338, 530, 791, 777 is 1

Given Input Data is 338, 530, 791, 777

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 791 is 7 x 113

Prime Factorization of 777 is 3 x 7 x 37

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(338, 530) = 89570

GCD(338, 530) = ( 338 x 530 ) / 89570

GCD(338, 530) = 179140 / 89570

GCD(338, 530) = 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 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 338, 530, 791, 777 is 1

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• GCD of 499, 986, 881, 454
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1. What is the GCD of 338, 530, 791, 777?

GCD of 338, 530, 791, 777 is 1

2. Where do I get the detailed procedure to find GCD of 338, 530, 791, 777?

You can find a detailed procedure to find GCD of 338, 530, 791, 777 on our page.

3. How to find GCD of 338, 530, 791, 777 on a calculator?

You can find the GCD of 338, 530, 791, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.