GCD of 302, 904, 765, 459 Calculator

Given Input numbers are 302, 904, 765, 459

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 302, 904, 765, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 904, 765, 459 is 1.

Therefore, GCD of numbers 302, 904, 765, 459 is 1

Given Input Data is 302, 904, 765, 459

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

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(302, 904) = 136504

GCD(302, 904) = ( 302 x 904 ) / 136504

GCD(302, 904) = 273008 / 136504

GCD(302, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 302, 904, 765, 459 is 1

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• GCD of 865, 410, 448, 245
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1. What is the GCD of 302, 904, 765, 459?

GCD of 302, 904, 765, 459 is 1

2. Where do I get the detailed procedure to find GCD of 302, 904, 765, 459?

You can find a detailed procedure to find GCD of 302, 904, 765, 459 on our page.

3. How to find GCD of 302, 904, 765, 459 on a calculator?

You can find the GCD of 302, 904, 765, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.