GCD of 888, 458, 976, 494 Calculator

Given Input numbers are 888, 458, 976, 494

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

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 888, 458, 976, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 458, 976, 494 is 2.

Therefore, GCD of numbers 888, 458, 976, 494 is 2

Given Input Data is 888, 458, 976, 494

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

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 494 is 2 x 13 x 19

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(888, 458) = 203352

GCD(888, 458) = ( 888 x 458 ) / 203352

GCD(888, 458) = 406704 / 203352

GCD(888, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

GCD of 888, 458, 976, 494 is 2

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1. What is the GCD of 888, 458, 976, 494?

GCD of 888, 458, 976, 494 is 2

2. Where do I get the detailed procedure to find GCD of 888, 458, 976, 494?

You can find a detailed procedure to find GCD of 888, 458, 976, 494 on our page.

3. How to find GCD of 888, 458, 976, 494 on a calculator?

You can find the GCD of 888, 458, 976, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.