GCD of 458, 828, 982, 110 Calculator

Given Input numbers are 458, 828, 982, 110

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

Divisors of 458

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

1, 2, 229, 458

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 458, 828, 982, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 828, 982, 110 is 2.

Therefore, GCD of numbers 458, 828, 982, 110 is 2

Given Input Data is 458, 828, 982, 110

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 982 is 2 x 491

Prime Factorization of 110 is 2 x 5 x 11

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(458, 828) = 189612

GCD(458, 828) = ( 458 x 828 ) / 189612

GCD(458, 828) = 379224 / 189612

GCD(458, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

GCD of 458, 828, 982, 110 is 2

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1. What is the GCD of 458, 828, 982, 110?

GCD of 458, 828, 982, 110 is 2

2. Where do I get the detailed procedure to find GCD of 458, 828, 982, 110?

You can find a detailed procedure to find GCD of 458, 828, 982, 110 on our page.

3. How to find GCD of 458, 828, 982, 110 on a calculator?

You can find the GCD of 458, 828, 982, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.