GCD of 766, 904, 45, 915 Calculator

Given Input numbers are 766, 904, 45, 915

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 766, 904, 45, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 904, 45, 915 is 1.

Therefore, GCD of numbers 766, 904, 45, 915 is 1

Given Input Data is 766, 904, 45, 915

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 45 is 3 x 3 x 5

Prime Factorization of 915 is 3 x 5 x 61

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 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 766, 904, 45, 915 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 629, 48, 523
• GCD of 857, 687, 87, 205
• GCD of 397, 967, 48, 223
• GCD of 449, 229, 97, 757
• GCD of 604, 708, 83, 216

1. What is the GCD of 766, 904, 45, 915?

GCD of 766, 904, 45, 915 is 1

2. Where do I get the detailed procedure to find GCD of 766, 904, 45, 915?

You can find a detailed procedure to find GCD of 766, 904, 45, 915 on our page.

3. How to find GCD of 766, 904, 45, 915 on a calculator?

You can find the GCD of 766, 904, 45, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.