GCD of 852, 542, 42, 328 Calculator

Given Input numbers are 852, 542, 42, 328

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

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 852, 542, 42, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 542, 42, 328 is 2.

Therefore, GCD of numbers 852, 542, 42, 328 is 2

Given Input Data is 852, 542, 42, 328

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

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

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(852, 542) = 230892

GCD(852, 542) = ( 852 x 542 ) / 230892

GCD(852, 542) = 461784 / 230892

GCD(852, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 328

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

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

GCD(2, 328) = 656 / 328

GCD(2, 328) = 2

GCD of 852, 542, 42, 328 is 2

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• GCD of 609, 328, 59, 915
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1. What is the GCD of 852, 542, 42, 328?

GCD of 852, 542, 42, 328 is 2

2. Where do I get the detailed procedure to find GCD of 852, 542, 42, 328?

You can find a detailed procedure to find GCD of 852, 542, 42, 328 on our page.

3. How to find GCD of 852, 542, 42, 328 on a calculator?

You can find the GCD of 852, 542, 42, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.