GCD of 352, 858, 57, 802 Calculator

Given Input numbers are 352, 858, 57, 802

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 57

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

1, 3, 19, 57

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 352, 858, 57, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 858, 57, 802 is 1.

Therefore, GCD of numbers 352, 858, 57, 802 is 1

Given Input Data is 352, 858, 57, 802

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 802 is 2 x 401

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(352, 858) = 13728

GCD(352, 858) = ( 352 x 858 ) / 13728

GCD(352, 858) = 302016 / 13728

GCD(352, 858) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 57

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

LCM(22, 57) = 1254

GCD(22, 57) = ( 22 x 57 ) / 1254

GCD(22, 57) = 1254 / 1254

GCD(22, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 352, 858, 57, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 755, 89, 725
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• GCD of 431, 595, 25, 805

1. What is the GCD of 352, 858, 57, 802?

GCD of 352, 858, 57, 802 is 1

2. Where do I get the detailed procedure to find GCD of 352, 858, 57, 802?

You can find a detailed procedure to find GCD of 352, 858, 57, 802 on our page.

3. How to find GCD of 352, 858, 57, 802 on a calculator?

You can find the GCD of 352, 858, 57, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.