GCD of 352, 214, 498, 558 Calculator

Given Input numbers are 352, 214, 498, 558

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 352, 214, 498, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 214, 498, 558 is 2.

Therefore, GCD of numbers 352, 214, 498, 558 is 2

Given Input Data is 352, 214, 498, 558

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 214 is 2 x 107

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 558 is 2 x 3 x 3 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(352, 214) = 37664

GCD(352, 214) = ( 352 x 214 ) / 37664

GCD(352, 214) = 75328 / 37664

GCD(352, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 352, 214, 498, 558 is 2

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1. What is the GCD of 352, 214, 498, 558?

GCD of 352, 214, 498, 558 is 2

2. Where do I get the detailed procedure to find GCD of 352, 214, 498, 558?

You can find a detailed procedure to find GCD of 352, 214, 498, 558 on our page.

3. How to find GCD of 352, 214, 498, 558 on a calculator?

You can find the GCD of 352, 214, 498, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.