GCD of 202, 858, 901, 409 Calculator

Given Input numbers are 202, 858, 901, 409

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

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 202, 858, 901, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 858, 901, 409 is 1.

Therefore, GCD of numbers 202, 858, 901, 409 is 1

Given Input Data is 202, 858, 901, 409

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 901 is 17 x 53

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(202, 858) = 86658

GCD(202, 858) = ( 202 x 858 ) / 86658

GCD(202, 858) = 173316 / 86658

GCD(202, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 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 202, 858, 901, 409 is 1

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1. What is the GCD of 202, 858, 901, 409?

GCD of 202, 858, 901, 409 is 1

2. Where do I get the detailed procedure to find GCD of 202, 858, 901, 409?

You can find a detailed procedure to find GCD of 202, 858, 901, 409 on our page.

3. How to find GCD of 202, 858, 901, 409 on a calculator?

You can find the GCD of 202, 858, 901, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.