GCD of 494, 969, 298, 837 Calculator

Given Input numbers are 494, 969, 298, 837

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Greatest Common Divisior

We found the divisors of 494, 969, 298, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 969, 298, 837 is 1.

Therefore, GCD of numbers 494, 969, 298, 837 is 1

Given Input Data is 494, 969, 298, 837

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 837 is 3 x 3 x 3 x 31

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(494, 969) = 25194

GCD(494, 969) = ( 494 x 969 ) / 25194

GCD(494, 969) = 478686 / 25194

GCD(494, 969) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 298

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

LCM(19, 298) = 5662

GCD(19, 298) = ( 19 x 298 ) / 5662

GCD(19, 298) = 5662 / 5662

GCD(19, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 837

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

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

GCD(1, 837) = 837 / 837

GCD(1, 837) = 1

GCD of 494, 969, 298, 837 is 1

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1. What is the GCD of 494, 969, 298, 837?

GCD of 494, 969, 298, 837 is 1

2. Where do I get the detailed procedure to find GCD of 494, 969, 298, 837?

You can find a detailed procedure to find GCD of 494, 969, 298, 837 on our page.

3. How to find GCD of 494, 969, 298, 837 on a calculator?

You can find the GCD of 494, 969, 298, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.