GCD of 723, 418, 768, 145 Calculator

Given Input numbers are 723, 418, 768, 145

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 723, 418, 768, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 418, 768, 145 is 1.

Therefore, GCD of numbers 723, 418, 768, 145 is 1

Given Input Data is 723, 418, 768, 145

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 145 is 5 x 29

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, 418) = 302214

GCD(723, 418) = ( 723 x 418 ) / 302214

GCD(723, 418) = 302214 / 302214

GCD(723, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 723, 418, 768, 145 is 1

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1. What is the GCD of 723, 418, 768, 145?

GCD of 723, 418, 768, 145 is 1

2. Where do I get the detailed procedure to find GCD of 723, 418, 768, 145?

You can find a detailed procedure to find GCD of 723, 418, 768, 145 on our page.

3. How to find GCD of 723, 418, 768, 145 on a calculator?

You can find the GCD of 723, 418, 768, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.