GCD of 524, 638, 292, 998 Calculator

Given Input numbers are 524, 638, 292, 998

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 524, 638, 292, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 638, 292, 998 is 2.

Therefore, GCD of numbers 524, 638, 292, 998 is 2

Given Input Data is 524, 638, 292, 998

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 292 is 2 x 2 x 73

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(524, 638) = 167156

GCD(524, 638) = ( 524 x 638 ) / 167156

GCD(524, 638) = 334312 / 167156

GCD(524, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 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 524, 638, 292, 998 is 2

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1. What is the GCD of 524, 638, 292, 998?

GCD of 524, 638, 292, 998 is 2

2. Where do I get the detailed procedure to find GCD of 524, 638, 292, 998?

You can find a detailed procedure to find GCD of 524, 638, 292, 998 on our page.

3. How to find GCD of 524, 638, 292, 998 on a calculator?

You can find the GCD of 524, 638, 292, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.