GCD of 690, 165, 331, 507 Calculator

Given Input numbers are 690, 165, 331, 507

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 690, 165, 331, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 165, 331, 507 is 1.

Therefore, GCD of numbers 690, 165, 331, 507 is 1

Given Input Data is 690, 165, 331, 507

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 165 is 3 x 5 x 11

Prime Factorization of 331 is 331

Prime Factorization of 507 is 3 x 13 x 13

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, 165) = 7590

GCD(690, 165) = ( 690 x 165 ) / 7590

GCD(690, 165) = 113850 / 7590

GCD(690, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 331

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

LCM(15, 331) = 4965

GCD(15, 331) = ( 15 x 331 ) / 4965

GCD(15, 331) = 4965 / 4965

GCD(15, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 690, 165, 331, 507 is 1

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• GCD of 819, 482, 591, 146
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1. What is the GCD of 690, 165, 331, 507?

GCD of 690, 165, 331, 507 is 1

2. Where do I get the detailed procedure to find GCD of 690, 165, 331, 507?

You can find a detailed procedure to find GCD of 690, 165, 331, 507 on our page.

3. How to find GCD of 690, 165, 331, 507 on a calculator?

You can find the GCD of 690, 165, 331, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.