GCD of 492, 498, 831, 976 Calculator

Given Input numbers are 492, 498, 831, 976

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 492, 498, 831, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 498, 831, 976 is 1.

Therefore, GCD of numbers 492, 498, 831, 976 is 1

Given Input Data is 492, 498, 831, 976

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 498 is 2 x 3 x 83

Prime Factorization of 831 is 3 x 277

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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, 498) = 40836

GCD(492, 498) = ( 492 x 498 ) / 40836

GCD(492, 498) = 245016 / 40836

GCD(492, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 831

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

LCM(6, 831) = 1662

GCD(6, 831) = ( 6 x 831 ) / 1662

GCD(6, 831) = 4986 / 1662

GCD(6, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 976

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

LCM(3, 976) = 2928

GCD(3, 976) = ( 3 x 976 ) / 2928

GCD(3, 976) = 2928 / 2928

GCD(3, 976) = 1

GCD of 492, 498, 831, 976 is 1

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• GCD of 758, 404, 164, 928
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• GCD of 278, 462, 867, 999

1. What is the GCD of 492, 498, 831, 976?

GCD of 492, 498, 831, 976 is 1

2. Where do I get the detailed procedure to find GCD of 492, 498, 831, 976?

You can find a detailed procedure to find GCD of 492, 498, 831, 976 on our page.

3. How to find GCD of 492, 498, 831, 976 on a calculator?

You can find the GCD of 492, 498, 831, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.