GCD of 44, 361, 171, 858 Calculator

Given Input numbers are 44, 361, 171, 858

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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

Greatest Common Divisior

We found the divisors of 44, 361, 171, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 361, 171, 858 is 1.

Therefore, GCD of numbers 44, 361, 171, 858 is 1

Given Input Data is 44, 361, 171, 858

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 361 is 19 x 19

Prime Factorization of 171 is 3 x 3 x 19

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

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(44, 361) = 15884

GCD(44, 361) = ( 44 x 361 ) / 15884

GCD(44, 361) = 15884 / 15884

GCD(44, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 44, 361, 171, 858 is 1

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1. What is the GCD of 44, 361, 171, 858?

GCD of 44, 361, 171, 858 is 1

2. Where do I get the detailed procedure to find GCD of 44, 361, 171, 858?

You can find a detailed procedure to find GCD of 44, 361, 171, 858 on our page.

3. How to find GCD of 44, 361, 171, 858 on a calculator?

You can find the GCD of 44, 361, 171, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.