GCD of 362, 748, 724, 403 Calculator

Given Input numbers are 362, 748, 724, 403

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 362, 748, 724, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 748, 724, 403 is 1.

Therefore, GCD of numbers 362, 748, 724, 403 is 1

Given Input Data is 362, 748, 724, 403

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 403 is 13 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(362, 748) = 135388

GCD(362, 748) = ( 362 x 748 ) / 135388

GCD(362, 748) = 270776 / 135388

GCD(362, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

GCD of 362, 748, 724, 403 is 1

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1. What is the GCD of 362, 748, 724, 403?

GCD of 362, 748, 724, 403 is 1

2. Where do I get the detailed procedure to find GCD of 362, 748, 724, 403?

You can find a detailed procedure to find GCD of 362, 748, 724, 403 on our page.

3. How to find GCD of 362, 748, 724, 403 on a calculator?

You can find the GCD of 362, 748, 724, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.