GCD of 492, 744, 68, 845 Calculator

Given Input numbers are 492, 744, 68, 845

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 492, 744, 68, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 744, 68, 845 is 1.

Therefore, GCD of numbers 492, 744, 68, 845 is 1

Given Input Data is 492, 744, 68, 845

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 845 is 5 x 13 x 13

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, 744) = 30504

GCD(492, 744) = ( 492 x 744 ) / 30504

GCD(492, 744) = 366048 / 30504

GCD(492, 744) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 68

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

LCM(12, 68) = 204

GCD(12, 68) = ( 12 x 68 ) / 204

GCD(12, 68) = 816 / 204

GCD(12, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 845

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

LCM(4, 845) = 3380

GCD(4, 845) = ( 4 x 845 ) / 3380

GCD(4, 845) = 3380 / 3380

GCD(4, 845) = 1

GCD of 492, 744, 68, 845 is 1

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1. What is the GCD of 492, 744, 68, 845?

GCD of 492, 744, 68, 845 is 1

2. Where do I get the detailed procedure to find GCD of 492, 744, 68, 845?

You can find a detailed procedure to find GCD of 492, 744, 68, 845 on our page.

3. How to find GCD of 492, 744, 68, 845 on a calculator?

You can find the GCD of 492, 744, 68, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.