GCD of 498, 398, 938, 130 Calculator

Given Input numbers are 498, 398, 938, 130

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 498, 398, 938, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 398, 938, 130 is 2.

Therefore, GCD of numbers 498, 398, 938, 130 is 2

Given Input Data is 498, 398, 938, 130

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 398 is 2 x 199

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 130 is 2 x 5 x 13

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, 398) = 99102

GCD(498, 398) = ( 498 x 398 ) / 99102

GCD(498, 398) = 198204 / 99102

GCD(498, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 130

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

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

GCD(2, 130) = 260 / 130

GCD(2, 130) = 2

GCD of 498, 398, 938, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 139, 581, 652
• GCD of 409, 827, 410, 364
• GCD of 331, 307, 175, 336
• GCD of 934, 539, 135, 753
• GCD of 591, 454, 363, 393

1. What is the GCD of 498, 398, 938, 130?

GCD of 498, 398, 938, 130 is 2

2. Where do I get the detailed procedure to find GCD of 498, 398, 938, 130?

You can find a detailed procedure to find GCD of 498, 398, 938, 130 on our page.

3. How to find GCD of 498, 398, 938, 130 on a calculator?

You can find the GCD of 498, 398, 938, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.