GCD of 696, 800, 181, 722 Calculator

Given Input numbers are 696, 800, 181, 722

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 722

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

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 696, 800, 181, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 800, 181, 722 is 1.

Therefore, GCD of numbers 696, 800, 181, 722 is 1

Given Input Data is 696, 800, 181, 722

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 181 is 181

Prime Factorization of 722 is 2 x 19 x 19

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(696, 800) = 69600

GCD(696, 800) = ( 696 x 800 ) / 69600

GCD(696, 800) = 556800 / 69600

GCD(696, 800) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 181

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

LCM(8, 181) = 1448

GCD(8, 181) = ( 8 x 181 ) / 1448

GCD(8, 181) = 1448 / 1448

GCD(8, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 696, 800, 181, 722 is 1

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1. What is the GCD of 696, 800, 181, 722?

GCD of 696, 800, 181, 722 is 1

2. Where do I get the detailed procedure to find GCD of 696, 800, 181, 722?

You can find a detailed procedure to find GCD of 696, 800, 181, 722 on our page.

3. How to find GCD of 696, 800, 181, 722 on a calculator?

You can find the GCD of 696, 800, 181, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.