GCD of 404, 766, 908, 735 Calculator

Given Input numbers are 404, 766, 908, 735

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 404, 766, 908, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 766, 908, 735 is 1.

Therefore, GCD of numbers 404, 766, 908, 735 is 1

Given Input Data is 404, 766, 908, 735

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 766 is 2 x 383

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(404, 766) = 154732

GCD(404, 766) = ( 404 x 766 ) / 154732

GCD(404, 766) = 309464 / 154732

GCD(404, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 404, 766, 908, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 108, 229, 941
• GCD of 231, 625, 296, 714
• GCD of 384, 554, 451, 196
• GCD of 360, 368, 359, 717
• GCD of 433, 492, 917, 105

1. What is the GCD of 404, 766, 908, 735?

GCD of 404, 766, 908, 735 is 1

2. Where do I get the detailed procedure to find GCD of 404, 766, 908, 735?

You can find a detailed procedure to find GCD of 404, 766, 908, 735 on our page.

3. How to find GCD of 404, 766, 908, 735 on a calculator?

You can find the GCD of 404, 766, 908, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.