GCD of 297, 102, 258, 707 Calculator

Given Input numbers are 297, 102, 258, 707

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 297, 102, 258, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 102, 258, 707 is 1.

Therefore, GCD of numbers 297, 102, 258, 707 is 1

Given Input Data is 297, 102, 258, 707

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 707 is 7 x 101

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(297, 102) = 10098

GCD(297, 102) = ( 297 x 102 ) / 10098

GCD(297, 102) = 30294 / 10098

GCD(297, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 258

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

LCM(3, 258) = 258

GCD(3, 258) = ( 3 x 258 ) / 258

GCD(3, 258) = 774 / 258

GCD(3, 258) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 707

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

LCM(3, 707) = 2121

GCD(3, 707) = ( 3 x 707 ) / 2121

GCD(3, 707) = 2121 / 2121

GCD(3, 707) = 1

GCD of 297, 102, 258, 707 is 1

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1. What is the GCD of 297, 102, 258, 707?

GCD of 297, 102, 258, 707 is 1

2. Where do I get the detailed procedure to find GCD of 297, 102, 258, 707?

You can find a detailed procedure to find GCD of 297, 102, 258, 707 on our page.

3. How to find GCD of 297, 102, 258, 707 on a calculator?

You can find the GCD of 297, 102, 258, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.