GCD of 690, 667, 515, 497 Calculator

Given Input numbers are 690, 667, 515, 497

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

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

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 690, 667, 515, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 667, 515, 497 is 1.

Therefore, GCD of numbers 690, 667, 515, 497 is 1

Given Input Data is 690, 667, 515, 497

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

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 515 is 5 x 103

Prime Factorization of 497 is 7 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(690, 667) = 20010

GCD(690, 667) = ( 690 x 667 ) / 20010

GCD(690, 667) = 460230 / 20010

GCD(690, 667) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 515

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

LCM(23, 515) = 11845

GCD(23, 515) = ( 23 x 515 ) / 11845

GCD(23, 515) = 11845 / 11845

GCD(23, 515) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 690, 667, 515, 497 is 1

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1. What is the GCD of 690, 667, 515, 497?

GCD of 690, 667, 515, 497 is 1

2. Where do I get the detailed procedure to find GCD of 690, 667, 515, 497?

You can find a detailed procedure to find GCD of 690, 667, 515, 497 on our page.

3. How to find GCD of 690, 667, 515, 497 on a calculator?

You can find the GCD of 690, 667, 515, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.