GCD of 998, 558, 58, 528 Calculator

Given Input numbers are 998, 558, 58, 528

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 58

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

1, 2, 29, 58

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 998, 558, 58, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 558, 58, 528 is 2.

Therefore, GCD of numbers 998, 558, 58, 528 is 2

Given Input Data is 998, 558, 58, 528

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 58 is 2 x 29

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(998, 558) = 278442

GCD(998, 558) = ( 998 x 558 ) / 278442

GCD(998, 558) = 556884 / 278442

GCD(998, 558) = 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 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 998, 558, 58, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 977, 20, 344
• GCD of 497, 373, 71, 166
• GCD of 474, 159, 62, 854
• GCD of 969, 750, 22, 854
• GCD of 507, 581, 55, 365

1. What is the GCD of 998, 558, 58, 528?

GCD of 998, 558, 58, 528 is 2

2. Where do I get the detailed procedure to find GCD of 998, 558, 58, 528?

You can find a detailed procedure to find GCD of 998, 558, 58, 528 on our page.

3. How to find GCD of 998, 558, 58, 528 on a calculator?

You can find the GCD of 998, 558, 58, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.