GCD of 297, 693, 645, 710 Calculator

Given Input numbers are 297, 693, 645, 710

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 710

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

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

Greatest Common Divisior

We found the divisors of 297, 693, 645, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 693, 645, 710 is 1.

Therefore, GCD of numbers 297, 693, 645, 710 is 1

Given Input Data is 297, 693, 645, 710

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 693 is 3 x 3 x 7 x 11

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 710 is 2 x 5 x 71

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, 693) = 2079

GCD(297, 693) = ( 297 x 693 ) / 2079

GCD(297, 693) = 205821 / 2079

GCD(297, 693) = 99

Step2:

Here we consider the GCD from the above i.e. 99 as first number and the next as 645

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

LCM(99, 645) = 21285

GCD(99, 645) = ( 99 x 645 ) / 21285

GCD(99, 645) = 63855 / 21285

GCD(99, 645) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 710

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

LCM(3, 710) = 2130

GCD(3, 710) = ( 3 x 710 ) / 2130

GCD(3, 710) = 2130 / 2130

GCD(3, 710) = 1

GCD of 297, 693, 645, 710 is 1

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1. What is the GCD of 297, 693, 645, 710?

GCD of 297, 693, 645, 710 is 1

2. Where do I get the detailed procedure to find GCD of 297, 693, 645, 710?

You can find a detailed procedure to find GCD of 297, 693, 645, 710 on our page.

3. How to find GCD of 297, 693, 645, 710 on a calculator?

You can find the GCD of 297, 693, 645, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.