GCD of 105, 801, 422, 409 Calculator

Given Input numbers are 105, 801, 422, 409

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 105, 801, 422, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 801, 422, 409 is 1.

Therefore, GCD of numbers 105, 801, 422, 409 is 1

Given Input Data is 105, 801, 422, 409

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 422 is 2 x 211

Prime Factorization of 409 is 409

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(105, 801) = 28035

GCD(105, 801) = ( 105 x 801 ) / 28035

GCD(105, 801) = 84105 / 28035

GCD(105, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 422

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

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

GCD(3, 422) = 1266 / 1266

GCD(3, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 105, 801, 422, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 839, 622, 944
• GCD of 442, 724, 103, 600
• GCD of 899, 721, 323, 225
• GCD of 226, 214, 574, 469
• GCD of 470, 798, 693, 942

1. What is the GCD of 105, 801, 422, 409?

GCD of 105, 801, 422, 409 is 1

2. Where do I get the detailed procedure to find GCD of 105, 801, 422, 409?

You can find a detailed procedure to find GCD of 105, 801, 422, 409 on our page.

3. How to find GCD of 105, 801, 422, 409 on a calculator?

You can find the GCD of 105, 801, 422, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.