GCD of 707, 324, 690 Calculator

Given Input numbers are 707, 324, 690

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

Divisors of 707

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

1, 7, 101, 707

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 707, 324, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 324, 690 is 1.

Therefore, GCD of numbers 707, 324, 690 is 1

Given Input Data is 707, 324, 690

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(707, 324) = 229068

GCD(707, 324) = ( 707 x 324 ) / 229068

GCD(707, 324) = 229068 / 229068

GCD(707, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 707, 324, 690 is 1

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1. What is the GCD of 707, 324, 690?

GCD of 707, 324, 690 is 1

2. Where do I get the detailed procedure to find GCD of 707, 324, 690?

You can find a detailed procedure to find GCD of 707, 324, 690 on our page.

3. How to find GCD of 707, 324, 690 on a calculator?

You can find the GCD of 707, 324, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.