GCD of 738, 677, 403, 808 Calculator

Given Input numbers are 738, 677, 403, 808

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 738, 677, 403, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 677, 403, 808 is 1.

Therefore, GCD of numbers 738, 677, 403, 808 is 1

Given Input Data is 738, 677, 403, 808

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 677 is 677

Prime Factorization of 403 is 13 x 31

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(738, 677) = 499626

GCD(738, 677) = ( 738 x 677 ) / 499626

GCD(738, 677) = 499626 / 499626

GCD(738, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 738, 677, 403, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 981, 493, 919
• GCD of 596, 866, 614, 204
• GCD of 808, 446, 682, 780
• GCD of 380, 264, 357, 284
• GCD of 685, 477, 252, 845

1. What is the GCD of 738, 677, 403, 808?

GCD of 738, 677, 403, 808 is 1

2. Where do I get the detailed procedure to find GCD of 738, 677, 403, 808?

You can find a detailed procedure to find GCD of 738, 677, 403, 808 on our page.

3. How to find GCD of 738, 677, 403, 808 on a calculator?

You can find the GCD of 738, 677, 403, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.