GCD of 400, 410, 24, 605 Calculator

Given Input numbers are 400, 410, 24, 605

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 400, 410, 24, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 410, 24, 605 is 1.

Therefore, GCD of numbers 400, 410, 24, 605 is 1

Given Input Data is 400, 410, 24, 605

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 605 is 5 x 11 x 11

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(400, 410) = 16400

GCD(400, 410) = ( 400 x 410 ) / 16400

GCD(400, 410) = 164000 / 16400

GCD(400, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 24

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

LCM(10, 24) = 120

GCD(10, 24) = ( 10 x 24 ) / 120

GCD(10, 24) = 240 / 120

GCD(10, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

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

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

GCD of 400, 410, 24, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 325, 58, 562
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• GCD of 428, 871, 17, 694
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• GCD of 986, 969, 10, 649

1. What is the GCD of 400, 410, 24, 605?

GCD of 400, 410, 24, 605 is 1

2. Where do I get the detailed procedure to find GCD of 400, 410, 24, 605?

You can find a detailed procedure to find GCD of 400, 410, 24, 605 on our page.

3. How to find GCD of 400, 410, 24, 605 on a calculator?

You can find the GCD of 400, 410, 24, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.