GCD of 505, 690, 342 Calculator

Given Input numbers are 505, 690, 342

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 505, 690, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 690, 342 is 1.

Therefore, GCD of numbers 505, 690, 342 is 1

Given Input Data is 505, 690, 342

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

Prime Factorization of 505 is 5 x 101

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(505, 690) = 69690

GCD(505, 690) = ( 505 x 690 ) / 69690

GCD(505, 690) = 348450 / 69690

GCD(505, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 342

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

LCM(5, 342) = 1710

GCD(5, 342) = ( 5 x 342 ) / 1710

GCD(5, 342) = 1710 / 1710

GCD(5, 342) = 1

GCD of 505, 690, 342 is 1

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1. What is the GCD of 505, 690, 342?

GCD of 505, 690, 342 is 1

2. Where do I get the detailed procedure to find GCD of 505, 690, 342?

You can find a detailed procedure to find GCD of 505, 690, 342 on our page.

3. How to find GCD of 505, 690, 342 on a calculator?

You can find the GCD of 505, 690, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.