GCD of 578, 942, 492 Calculator

Given Input numbers are 578, 942, 492

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

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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

Greatest Common Divisior

We found the divisors of 578, 942, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 942, 492 is 2.

Therefore, GCD of numbers 578, 942, 492 is 2

Given Input Data is 578, 942, 492

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 942 is 2 x 3 x 157

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

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(578, 942) = 272238

GCD(578, 942) = ( 578 x 942 ) / 272238

GCD(578, 942) = 544476 / 272238

GCD(578, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 578, 942, 492 is 2

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1. What is the GCD of 578, 942, 492?

GCD of 578, 942, 492 is 2

2. Where do I get the detailed procedure to find GCD of 578, 942, 492?

You can find a detailed procedure to find GCD of 578, 942, 492 on our page.

3. How to find GCD of 578, 942, 492 on a calculator?

You can find the GCD of 578, 942, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.