GCD of 492, 686, 730, 801 Calculator

Given Input numbers are 492, 686, 730, 801

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 730

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

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

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 492, 686, 730, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 686, 730, 801 is 1.

Therefore, GCD of numbers 492, 686, 730, 801 is 1

Given Input Data is 492, 686, 730, 801

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 801 is 3 x 3 x 89

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, 686) = 168756

GCD(492, 686) = ( 492 x 686 ) / 168756

GCD(492, 686) = 337512 / 168756

GCD(492, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 801

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

LCM(2, 801) = 1602

GCD(2, 801) = ( 2 x 801 ) / 1602

GCD(2, 801) = 1602 / 1602

GCD(2, 801) = 1

GCD of 492, 686, 730, 801 is 1

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1. What is the GCD of 492, 686, 730, 801?

GCD of 492, 686, 730, 801 is 1

2. Where do I get the detailed procedure to find GCD of 492, 686, 730, 801?

You can find a detailed procedure to find GCD of 492, 686, 730, 801 on our page.

3. How to find GCD of 492, 686, 730, 801 on a calculator?

You can find the GCD of 492, 686, 730, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.