GCD of 498, 238, 34, 158 Calculator

Given Input numbers are 498, 238, 34, 158

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 498, 238, 34, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 238, 34, 158 is 2.

Therefore, GCD of numbers 498, 238, 34, 158 is 2

Given Input Data is 498, 238, 34, 158

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 238 is 2 x 7 x 17

Prime Factorization of 34 is 2 x 17

Prime Factorization of 158 is 2 x 79

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, 238) = 59262

GCD(498, 238) = ( 498 x 238 ) / 59262

GCD(498, 238) = 118524 / 59262

GCD(498, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 498, 238, 34, 158 is 2

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1. What is the GCD of 498, 238, 34, 158?

GCD of 498, 238, 34, 158 is 2

2. Where do I get the detailed procedure to find GCD of 498, 238, 34, 158?

You can find a detailed procedure to find GCD of 498, 238, 34, 158 on our page.

3. How to find GCD of 498, 238, 34, 158 on a calculator?

You can find the GCD of 498, 238, 34, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.