GCD of 298, 710, 267, 717 Calculator

Given Input numbers are 298, 710, 267, 717

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 298, 710, 267, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 710, 267, 717 is 1.

Therefore, GCD of numbers 298, 710, 267, 717 is 1

Given Input Data is 298, 710, 267, 717

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 267 is 3 x 89

Prime Factorization of 717 is 3 x 239

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(298, 710) = 105790

GCD(298, 710) = ( 298 x 710 ) / 105790

GCD(298, 710) = 211580 / 105790

GCD(298, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 298, 710, 267, 717 is 1

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1. What is the GCD of 298, 710, 267, 717?

GCD of 298, 710, 267, 717 is 1

2. Where do I get the detailed procedure to find GCD of 298, 710, 267, 717?

You can find a detailed procedure to find GCD of 298, 710, 267, 717 on our page.

3. How to find GCD of 298, 710, 267, 717 on a calculator?

You can find the GCD of 298, 710, 267, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.