GCD of 820, 283, 722, 287 Calculator

Given Input numbers are 820, 283, 722, 287

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 820, 283, 722, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 283, 722, 287 is 1.

Therefore, GCD of numbers 820, 283, 722, 287 is 1

Given Input Data is 820, 283, 722, 287

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 283 is 283

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 287 is 7 x 41

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(820, 283) = 232060

GCD(820, 283) = ( 820 x 283 ) / 232060

GCD(820, 283) = 232060 / 232060

GCD(820, 283) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

GCD of 820, 283, 722, 287 is 1

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1. What is the GCD of 820, 283, 722, 287?

GCD of 820, 283, 722, 287 is 1

2. Where do I get the detailed procedure to find GCD of 820, 283, 722, 287?

You can find a detailed procedure to find GCD of 820, 283, 722, 287 on our page.

3. How to find GCD of 820, 283, 722, 287 on a calculator?

You can find the GCD of 820, 283, 722, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.