GCD of 922, 816, 58, 998 Calculator

Given Input numbers are 922, 816, 58, 998

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 922, 816, 58, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 816, 58, 998 is 2.

Therefore, GCD of numbers 922, 816, 58, 998 is 2

Given Input Data is 922, 816, 58, 998

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 58 is 2 x 29

Prime Factorization of 998 is 2 x 499

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(922, 816) = 376176

GCD(922, 816) = ( 922 x 816 ) / 376176

GCD(922, 816) = 752352 / 376176

GCD(922, 816) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

GCD of 922, 816, 58, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 561, 65, 530
• GCD of 233, 215, 85, 185
• GCD of 821, 927, 31, 135
• GCD of 569, 433, 12, 936
• GCD of 326, 458, 88, 935

1. What is the GCD of 922, 816, 58, 998?

GCD of 922, 816, 58, 998 is 2

2. Where do I get the detailed procedure to find GCD of 922, 816, 58, 998?

You can find a detailed procedure to find GCD of 922, 816, 58, 998 on our page.

3. How to find GCD of 922, 816, 58, 998 on a calculator?

You can find the GCD of 922, 816, 58, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.