GCD of 320, 731, 422, 749 Calculator

Given Input numbers are 320, 731, 422, 749

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 320, 731, 422, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 731, 422, 749 is 1.

Therefore, GCD of numbers 320, 731, 422, 749 is 1

Given Input Data is 320, 731, 422, 749

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 731 is 17 x 43

Prime Factorization of 422 is 2 x 211

Prime Factorization of 749 is 7 x 107

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(320, 731) = 233920

GCD(320, 731) = ( 320 x 731 ) / 233920

GCD(320, 731) = 233920 / 233920

GCD(320, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 320, 731, 422, 749 is 1

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1. What is the GCD of 320, 731, 422, 749?

GCD of 320, 731, 422, 749 is 1

2. Where do I get the detailed procedure to find GCD of 320, 731, 422, 749?

You can find a detailed procedure to find GCD of 320, 731, 422, 749 on our page.

3. How to find GCD of 320, 731, 422, 749 on a calculator?

You can find the GCD of 320, 731, 422, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.