GCD of 313, 742, 455, 723 Calculator

Given Input numbers are 313, 742, 455, 723

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 723

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

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 313, 742, 455, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 742, 455, 723 is 1.

Therefore, GCD of numbers 313, 742, 455, 723 is 1

Given Input Data is 313, 742, 455, 723

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

Prime Factorization of 313 is 313

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 723 is 3 x 241

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(313, 742) = 232246

GCD(313, 742) = ( 313 x 742 ) / 232246

GCD(313, 742) = 232246 / 232246

GCD(313, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 313, 742, 455, 723 is 1

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• GCD of 599, 445, 256, 170
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• GCD of 747, 490, 517, 782

1. What is the GCD of 313, 742, 455, 723?

GCD of 313, 742, 455, 723 is 1

2. Where do I get the detailed procedure to find GCD of 313, 742, 455, 723?

You can find a detailed procedure to find GCD of 313, 742, 455, 723 on our page.

3. How to find GCD of 313, 742, 455, 723 on a calculator?

You can find the GCD of 313, 742, 455, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.