GCD of 352, 992, 888, 894 Calculator

Given Input numbers are 352, 992, 888, 894

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 352, 992, 888, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 992, 888, 894 is 2.

Therefore, GCD of numbers 352, 992, 888, 894 is 2

Given Input Data is 352, 992, 888, 894

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 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 894 is 2 x 3 x 149

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, 992) = 10912

GCD(352, 992) = ( 352 x 992 ) / 10912

GCD(352, 992) = 349184 / 10912

GCD(352, 992) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 888

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

LCM(32, 888) = 3552

GCD(32, 888) = ( 32 x 888 ) / 3552

GCD(32, 888) = 28416 / 3552

GCD(32, 888) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 894

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

LCM(8, 894) = 3576

GCD(8, 894) = ( 8 x 894 ) / 3576

GCD(8, 894) = 7152 / 3576

GCD(8, 894) = 2

GCD of 352, 992, 888, 894 is 2

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1. What is the GCD of 352, 992, 888, 894?

GCD of 352, 992, 888, 894 is 2

2. Where do I get the detailed procedure to find GCD of 352, 992, 888, 894?

You can find a detailed procedure to find GCD of 352, 992, 888, 894 on our page.

3. How to find GCD of 352, 992, 888, 894 on a calculator?

You can find the GCD of 352, 992, 888, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.