GCD of 361, 799, 40, 724 Calculator

Given Input numbers are 361, 799, 40, 724

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 361, 799, 40, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 799, 40, 724 is 1.

Therefore, GCD of numbers 361, 799, 40, 724 is 1

Given Input Data is 361, 799, 40, 724

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 799 is 17 x 47

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 724 is 2 x 2 x 181

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(361, 799) = 288439

GCD(361, 799) = ( 361 x 799 ) / 288439

GCD(361, 799) = 288439 / 288439

GCD(361, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 361, 799, 40, 724 is 1

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1. What is the GCD of 361, 799, 40, 724?

GCD of 361, 799, 40, 724 is 1

2. Where do I get the detailed procedure to find GCD of 361, 799, 40, 724?

You can find a detailed procedure to find GCD of 361, 799, 40, 724 on our page.

3. How to find GCD of 361, 799, 40, 724 on a calculator?

You can find the GCD of 361, 799, 40, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.