GCD of 456, 460, 41, 508 Calculator

Given Input numbers are 456, 460, 41, 508

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 456, 460, 41, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 460, 41, 508 is 1.

Therefore, GCD of numbers 456, 460, 41, 508 is 1

Given Input Data is 456, 460, 41, 508

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Prime Factorization of 41 is 41

Prime Factorization of 508 is 2 x 2 x 127

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(456, 460) = 52440

GCD(456, 460) = ( 456 x 460 ) / 52440

GCD(456, 460) = 209760 / 52440

GCD(456, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 41

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

LCM(4, 41) = 164

GCD(4, 41) = ( 4 x 41 ) / 164

GCD(4, 41) = 164 / 164

GCD(4, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 456, 460, 41, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 551, 67, 586
• GCD of 959, 923, 86, 902
• GCD of 681, 993, 48, 502
• GCD of 652, 717, 62, 373
• GCD of 572, 562, 41, 959

1. What is the GCD of 456, 460, 41, 508?

GCD of 456, 460, 41, 508 is 1

2. Where do I get the detailed procedure to find GCD of 456, 460, 41, 508?

You can find a detailed procedure to find GCD of 456, 460, 41, 508 on our page.

3. How to find GCD of 456, 460, 41, 508 on a calculator?

You can find the GCD of 456, 460, 41, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.