GCD of 722, 682, 505, 491 Calculator

Given Input numbers are 722, 682, 505, 491

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 722, 682, 505, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 682, 505, 491 is 1.

Therefore, GCD of numbers 722, 682, 505, 491 is 1

Given Input Data is 722, 682, 505, 491

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 682 is 2 x 11 x 31

Prime Factorization of 505 is 5 x 101

Prime Factorization of 491 is 491

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, 682) = 246202

GCD(722, 682) = ( 722 x 682 ) / 246202

GCD(722, 682) = 492404 / 246202

GCD(722, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 722, 682, 505, 491 is 1

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1. What is the GCD of 722, 682, 505, 491?

GCD of 722, 682, 505, 491 is 1

2. Where do I get the detailed procedure to find GCD of 722, 682, 505, 491?

You can find a detailed procedure to find GCD of 722, 682, 505, 491 on our page.

3. How to find GCD of 722, 682, 505, 491 on a calculator?

You can find the GCD of 722, 682, 505, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.