GCD of 498, 982, 738, 868 Calculator

Given Input numbers are 498, 982, 738, 868

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 982

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

1, 2, 491, 982

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 498, 982, 738, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 982, 738, 868 is 2.

Therefore, GCD of numbers 498, 982, 738, 868 is 2

Given Input Data is 498, 982, 738, 868

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 982 is 2 x 491

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(498, 982) = 244518

GCD(498, 982) = ( 498 x 982 ) / 244518

GCD(498, 982) = 489036 / 244518

GCD(498, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

GCD of 498, 982, 738, 868 is 2

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1. What is the GCD of 498, 982, 738, 868?

GCD of 498, 982, 738, 868 is 2

2. Where do I get the detailed procedure to find GCD of 498, 982, 738, 868?

You can find a detailed procedure to find GCD of 498, 982, 738, 868 on our page.

3. How to find GCD of 498, 982, 738, 868 on a calculator?

You can find the GCD of 498, 982, 738, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.