GCD of 766, 904, 494, 355 Calculator

Given Input numbers are 766, 904, 494, 355

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 766, 904, 494, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 904, 494, 355 is 1.

Therefore, GCD of numbers 766, 904, 494, 355 is 1

Given Input Data is 766, 904, 494, 355

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 355 is 5 x 71

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(766, 904) = 346232

GCD(766, 904) = ( 766 x 904 ) / 346232

GCD(766, 904) = 692464 / 346232

GCD(766, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 766, 904, 494, 355 is 1

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• GCD of 294, 587, 220, 588
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1. What is the GCD of 766, 904, 494, 355?

GCD of 766, 904, 494, 355 is 1

2. Where do I get the detailed procedure to find GCD of 766, 904, 494, 355?

You can find a detailed procedure to find GCD of 766, 904, 494, 355 on our page.

3. How to find GCD of 766, 904, 494, 355 on a calculator?

You can find the GCD of 766, 904, 494, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.