GCD of 57, 322, 858, 349 Calculator

Given Input numbers are 57, 322, 858, 349

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 57, 322, 858, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 322, 858, 349 is 1.

Therefore, GCD of numbers 57, 322, 858, 349 is 1

Given Input Data is 57, 322, 858, 349

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 322 is 2 x 7 x 23

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

Prime Factorization of 349 is 349

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(57, 322) = 18354

GCD(57, 322) = ( 57 x 322 ) / 18354

GCD(57, 322) = 18354 / 18354

GCD(57, 322) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 57, 322, 858, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 198, 201, 242
• GCD of 81, 381, 139, 711
• GCD of 12, 175, 737, 330
• GCD of 58, 673, 369, 849
• GCD of 35, 904, 485, 965

1. What is the GCD of 57, 322, 858, 349?

GCD of 57, 322, 858, 349 is 1

2. Where do I get the detailed procedure to find GCD of 57, 322, 858, 349?

You can find a detailed procedure to find GCD of 57, 322, 858, 349 on our page.

3. How to find GCD of 57, 322, 858, 349 on a calculator?

You can find the GCD of 57, 322, 858, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.