GCD of 404, 552, 917, 731 Calculator

Given Input numbers are 404, 552, 917, 731

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 731

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

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 404, 552, 917, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 552, 917, 731 is 1.

Therefore, GCD of numbers 404, 552, 917, 731 is 1

Given Input Data is 404, 552, 917, 731

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 917 is 7 x 131

Prime Factorization of 731 is 17 x 43

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(404, 552) = 55752

GCD(404, 552) = ( 404 x 552 ) / 55752

GCD(404, 552) = 223008 / 55752

GCD(404, 552) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 917

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

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

GCD(4, 917) = 3668 / 3668

GCD(4, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 404, 552, 917, 731 is 1

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1. What is the GCD of 404, 552, 917, 731?

GCD of 404, 552, 917, 731 is 1

2. Where do I get the detailed procedure to find GCD of 404, 552, 917, 731?

You can find a detailed procedure to find GCD of 404, 552, 917, 731 on our page.

3. How to find GCD of 404, 552, 917, 731 on a calculator?

You can find the GCD of 404, 552, 917, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.