GCD of 168, 723, 753, 232 Calculator

Given Input numbers are 168, 723, 753, 232

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 723

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

1, 3, 241, 723

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 168, 723, 753, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 723, 753, 232 is 1.

Therefore, GCD of numbers 168, 723, 753, 232 is 1

Given Input Data is 168, 723, 753, 232

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 723 is 3 x 241

Prime Factorization of 753 is 3 x 251

Prime Factorization of 232 is 2 x 2 x 2 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(168, 723) = 40488

GCD(168, 723) = ( 168 x 723 ) / 40488

GCD(168, 723) = 121464 / 40488

GCD(168, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 753

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

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

GCD(3, 753) = 2259 / 753

GCD(3, 753) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 232

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

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

GCD(3, 232) = 696 / 696

GCD(3, 232) = 1

GCD of 168, 723, 753, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 983, 615, 574
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• GCD of 222, 900, 976, 917
• GCD of 555, 336, 457, 194

1. What is the GCD of 168, 723, 753, 232?

GCD of 168, 723, 753, 232 is 1

2. Where do I get the detailed procedure to find GCD of 168, 723, 753, 232?

You can find a detailed procedure to find GCD of 168, 723, 753, 232 on our page.

3. How to find GCD of 168, 723, 753, 232 on a calculator?

You can find the GCD of 168, 723, 753, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.