GCD of 722, 488, 185, 909 Calculator

Given Input numbers are 722, 488, 185, 909

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 722, 488, 185, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 488, 185, 909 is 1.

Therefore, GCD of numbers 722, 488, 185, 909 is 1

Given Input Data is 722, 488, 185, 909

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 185 is 5 x 37

Prime Factorization of 909 is 3 x 3 x 101

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(722, 488) = 176168

GCD(722, 488) = ( 722 x 488 ) / 176168

GCD(722, 488) = 352336 / 176168

GCD(722, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 722, 488, 185, 909 is 1

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• GCD of 382, 409, 925, 151
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• GCD of 598, 906, 470, 894

1. What is the GCD of 722, 488, 185, 909?

GCD of 722, 488, 185, 909 is 1

2. Where do I get the detailed procedure to find GCD of 722, 488, 185, 909?

You can find a detailed procedure to find GCD of 722, 488, 185, 909 on our page.

3. How to find GCD of 722, 488, 185, 909 on a calculator?

You can find the GCD of 722, 488, 185, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.