GCD of 492, 214, 558, 736 Calculator

Given Input numbers are 492, 214, 558, 736

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 214

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

1, 2, 107, 214

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 492, 214, 558, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 214, 558, 736 is 2.

Therefore, GCD of numbers 492, 214, 558, 736 is 2

Given Input Data is 492, 214, 558, 736

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 214 is 2 x 107

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(492, 214) = 52644

GCD(492, 214) = ( 492 x 214 ) / 52644

GCD(492, 214) = 105288 / 52644

GCD(492, 214) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 492, 214, 558, 736 is 2

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1. What is the GCD of 492, 214, 558, 736?

GCD of 492, 214, 558, 736 is 2

2. Where do I get the detailed procedure to find GCD of 492, 214, 558, 736?

You can find a detailed procedure to find GCD of 492, 214, 558, 736 on our page.

3. How to find GCD of 492, 214, 558, 736 on a calculator?

You can find the GCD of 492, 214, 558, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.