GCD of 723, 492, 59, 744 Calculator

Given Input numbers are 723, 492, 59, 744

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 723, 492, 59, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 492, 59, 744 is 1.

Therefore, GCD of numbers 723, 492, 59, 744 is 1

Given Input Data is 723, 492, 59, 744

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 59 is 59

Prime Factorization of 744 is 2 x 2 x 2 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(723, 492) = 118572

GCD(723, 492) = ( 723 x 492 ) / 118572

GCD(723, 492) = 355716 / 118572

GCD(723, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 723, 492, 59, 744 is 1

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• GCD of 697, 318, 73, 344
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• GCD of 497, 470, 38, 176

1. What is the GCD of 723, 492, 59, 744?

GCD of 723, 492, 59, 744 is 1

2. Where do I get the detailed procedure to find GCD of 723, 492, 59, 744?

You can find a detailed procedure to find GCD of 723, 492, 59, 744 on our page.

3. How to find GCD of 723, 492, 59, 744 on a calculator?

You can find the GCD of 723, 492, 59, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.