GCD of 158, 366, 852, 442 Calculator

Given Input numbers are 158, 366, 852, 442

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 158, 366, 852, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 366, 852, 442 is 2.

Therefore, GCD of numbers 158, 366, 852, 442 is 2

Given Input Data is 158, 366, 852, 442

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 442 is 2 x 13 x 17

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(158, 366) = 28914

GCD(158, 366) = ( 158 x 366 ) / 28914

GCD(158, 366) = 57828 / 28914

GCD(158, 366) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 442

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

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

GCD(2, 442) = 884 / 442

GCD(2, 442) = 2

GCD of 158, 366, 852, 442 is 2

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1. What is the GCD of 158, 366, 852, 442?

GCD of 158, 366, 852, 442 is 2

2. Where do I get the detailed procedure to find GCD of 158, 366, 852, 442?

You can find a detailed procedure to find GCD of 158, 366, 852, 442 on our page.

3. How to find GCD of 158, 366, 852, 442 on a calculator?

You can find the GCD of 158, 366, 852, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.