GCD of 460, 656, 265, 455 Calculator

Given Input numbers are 460, 656, 265, 455

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 460, 656, 265, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 656, 265, 455 is 1.

Therefore, GCD of numbers 460, 656, 265, 455 is 1

Given Input Data is 460, 656, 265, 455

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 265 is 5 x 53

Prime Factorization of 455 is 5 x 7 x 13

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(460, 656) = 75440

GCD(460, 656) = ( 460 x 656 ) / 75440

GCD(460, 656) = 301760 / 75440

GCD(460, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 265

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

LCM(4, 265) = 1060

GCD(4, 265) = ( 4 x 265 ) / 1060

GCD(4, 265) = 1060 / 1060

GCD(4, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 460, 656, 265, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 907, 645, 383
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• GCD of 936, 483, 665, 935

1. What is the GCD of 460, 656, 265, 455?

GCD of 460, 656, 265, 455 is 1

2. Where do I get the detailed procedure to find GCD of 460, 656, 265, 455?

You can find a detailed procedure to find GCD of 460, 656, 265, 455 on our page.

3. How to find GCD of 460, 656, 265, 455 on a calculator?

You can find the GCD of 460, 656, 265, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.