GCD of 240, 458, 949, 808 Calculator

Given Input numbers are 240, 458, 949, 808

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 240, 458, 949, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 458, 949, 808 is 1.

Therefore, GCD of numbers 240, 458, 949, 808 is 1

Given Input Data is 240, 458, 949, 808

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 458 is 2 x 229

Prime Factorization of 949 is 13 x 73

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(240, 458) = 54960

GCD(240, 458) = ( 240 x 458 ) / 54960

GCD(240, 458) = 109920 / 54960

GCD(240, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 240, 458, 949, 808 is 1

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1. What is the GCD of 240, 458, 949, 808?

GCD of 240, 458, 949, 808 is 1

2. Where do I get the detailed procedure to find GCD of 240, 458, 949, 808?

You can find a detailed procedure to find GCD of 240, 458, 949, 808 on our page.

3. How to find GCD of 240, 458, 949, 808 on a calculator?

You can find the GCD of 240, 458, 949, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.