GCD of 492, 398, 920, 239 Calculator

Given Input numbers are 492, 398, 920, 239

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 492, 398, 920, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 398, 920, 239 is 1.

Therefore, GCD of numbers 492, 398, 920, 239 is 1

Given Input Data is 492, 398, 920, 239

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 398 is 2 x 199

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 239 is 239

The above numbers do not have any common prime factor. So GCD is 1

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, 398) = 97908

GCD(492, 398) = ( 492 x 398 ) / 97908

GCD(492, 398) = 195816 / 97908

GCD(492, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 239

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

LCM(2, 239) = 478

GCD(2, 239) = ( 2 x 239 ) / 478

GCD(2, 239) = 478 / 478

GCD(2, 239) = 1

GCD of 492, 398, 920, 239 is 1

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1. What is the GCD of 492, 398, 920, 239?

GCD of 492, 398, 920, 239 is 1

2. Where do I get the detailed procedure to find GCD of 492, 398, 920, 239?

You can find a detailed procedure to find GCD of 492, 398, 920, 239 on our page.

3. How to find GCD of 492, 398, 920, 239 on a calculator?

You can find the GCD of 492, 398, 920, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.