GCD of 722, 635, 805, 440 Calculator

Given Input numbers are 722, 635, 805, 440

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 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 722, 635, 805, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 635, 805, 440 is 1.

Therefore, GCD of numbers 722, 635, 805, 440 is 1

Given Input Data is 722, 635, 805, 440

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 635 is 5 x 127

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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, 635) = 458470

GCD(722, 635) = ( 722 x 635 ) / 458470

GCD(722, 635) = 458470 / 458470

GCD(722, 635) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 722, 635, 805, 440 is 1

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1. What is the GCD of 722, 635, 805, 440?

GCD of 722, 635, 805, 440 is 1

2. Where do I get the detailed procedure to find GCD of 722, 635, 805, 440?

You can find a detailed procedure to find GCD of 722, 635, 805, 440 on our page.

3. How to find GCD of 722, 635, 805, 440 on a calculator?

You can find the GCD of 722, 635, 805, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.