GCD of 352, 304, 558, 852 Calculator

Given Input numbers are 352, 304, 558, 852

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 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 352, 304, 558, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 304, 558, 852 is 2.

Therefore, GCD of numbers 352, 304, 558, 852 is 2

Given Input Data is 352, 304, 558, 852

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 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 304) = 6688

GCD(352, 304) = ( 352 x 304 ) / 6688

GCD(352, 304) = 107008 / 6688

GCD(352, 304) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 558

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

LCM(16, 558) = 4464

GCD(16, 558) = ( 16 x 558 ) / 4464

GCD(16, 558) = 8928 / 4464

GCD(16, 558) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 352, 304, 558, 852 is 2

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1. What is the GCD of 352, 304, 558, 852?

GCD of 352, 304, 558, 852 is 2

2. Where do I get the detailed procedure to find GCD of 352, 304, 558, 852?

You can find a detailed procedure to find GCD of 352, 304, 558, 852 on our page.

3. How to find GCD of 352, 304, 558, 852 on a calculator?

You can find the GCD of 352, 304, 558, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.