GCD of 498, 578, 934, 138 Calculator

Given Input numbers are 498, 578, 934, 138

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 498, 578, 934, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 578, 934, 138 is 2.

Therefore, GCD of numbers 498, 578, 934, 138 is 2

Given Input Data is 498, 578, 934, 138

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 578 is 2 x 17 x 17

Prime Factorization of 934 is 2 x 467

Prime Factorization of 138 is 2 x 3 x 23

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, 578) = 143922

GCD(498, 578) = ( 498 x 578 ) / 143922

GCD(498, 578) = 287844 / 143922

GCD(498, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 498, 578, 934, 138 is 2

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1. What is the GCD of 498, 578, 934, 138?

GCD of 498, 578, 934, 138 is 2

2. Where do I get the detailed procedure to find GCD of 498, 578, 934, 138?

You can find a detailed procedure to find GCD of 498, 578, 934, 138 on our page.

3. How to find GCD of 498, 578, 934, 138 on a calculator?

You can find the GCD of 498, 578, 934, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.