GCD of 998, 438, 82, 772 Calculator

Given Input numbers are 998, 438, 82, 772

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 998, 438, 82, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 438, 82, 772 is 2.

Therefore, GCD of numbers 998, 438, 82, 772 is 2

Given Input Data is 998, 438, 82, 772

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 82 is 2 x 41

Prime Factorization of 772 is 2 x 2 x 193

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(998, 438) = 218562

GCD(998, 438) = ( 998 x 438 ) / 218562

GCD(998, 438) = 437124 / 218562

GCD(998, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 998, 438, 82, 772 is 2

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1. What is the GCD of 998, 438, 82, 772?

GCD of 998, 438, 82, 772 is 2

2. Where do I get the detailed procedure to find GCD of 998, 438, 82, 772?

You can find a detailed procedure to find GCD of 998, 438, 82, 772 on our page.

3. How to find GCD of 998, 438, 82, 772 on a calculator?

You can find the GCD of 998, 438, 82, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.