GCD of 723, 158, 302, 474 Calculator

Given Input numbers are 723, 158, 302, 474

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 723, 158, 302, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 158, 302, 474 is 1.

Therefore, GCD of numbers 723, 158, 302, 474 is 1

Given Input Data is 723, 158, 302, 474

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 158 is 2 x 79

Prime Factorization of 302 is 2 x 151

Prime Factorization of 474 is 2 x 3 x 79

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, 158) = 114234

GCD(723, 158) = ( 723 x 158 ) / 114234

GCD(723, 158) = 114234 / 114234

GCD(723, 158) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 723, 158, 302, 474 is 1

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1. What is the GCD of 723, 158, 302, 474?

GCD of 723, 158, 302, 474 is 1

2. Where do I get the detailed procedure to find GCD of 723, 158, 302, 474?

You can find a detailed procedure to find GCD of 723, 158, 302, 474 on our page.

3. How to find GCD of 723, 158, 302, 474 on a calculator?

You can find the GCD of 723, 158, 302, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.