GCD of 492, 691, 458, 730 Calculator

Given Input numbers are 492, 691, 458, 730

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 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 492, 691, 458, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 691, 458, 730 is 1.

Therefore, GCD of numbers 492, 691, 458, 730 is 1

Given Input Data is 492, 691, 458, 730

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 691 is 691

Prime Factorization of 458 is 2 x 229

Prime Factorization of 730 is 2 x 5 x 73

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, 691) = 339972

GCD(492, 691) = ( 492 x 691 ) / 339972

GCD(492, 691) = 339972 / 339972

GCD(492, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 492, 691, 458, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 289, 124, 328
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• GCD of 459, 825, 675, 999
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• GCD of 989, 658, 582, 364

1. What is the GCD of 492, 691, 458, 730?

GCD of 492, 691, 458, 730 is 1

2. Where do I get the detailed procedure to find GCD of 492, 691, 458, 730?

You can find a detailed procedure to find GCD of 492, 691, 458, 730 on our page.

3. How to find GCD of 492, 691, 458, 730 on a calculator?

You can find the GCD of 492, 691, 458, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.