GCD of 716, 281, 628, 289 Calculator

Given Input numbers are 716, 281, 628, 289

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 716, 281, 628, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 281, 628, 289 is 1.

Therefore, GCD of numbers 716, 281, 628, 289 is 1

Given Input Data is 716, 281, 628, 289

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 281 is 281

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 289 is 17 x 17

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(716, 281) = 201196

GCD(716, 281) = ( 716 x 281 ) / 201196

GCD(716, 281) = 201196 / 201196

GCD(716, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 716, 281, 628, 289 is 1

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1. What is the GCD of 716, 281, 628, 289?

GCD of 716, 281, 628, 289 is 1

2. Where do I get the detailed procedure to find GCD of 716, 281, 628, 289?

You can find a detailed procedure to find GCD of 716, 281, 628, 289 on our page.

3. How to find GCD of 716, 281, 628, 289 on a calculator?

You can find the GCD of 716, 281, 628, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.