GCD of 659, 505, 272 Calculator

Given Input numbers are 659, 505, 272

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 505

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

1, 5, 101, 505

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 659, 505, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 505, 272 is 1.

Therefore, GCD of numbers 659, 505, 272 is 1

Given Input Data is 659, 505, 272

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

Prime Factorization of 659 is 659

Prime Factorization of 505 is 5 x 101

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(659, 505) = 332795

GCD(659, 505) = ( 659 x 505 ) / 332795

GCD(659, 505) = 332795 / 332795

GCD(659, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 659, 505, 272 is 1

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1. What is the GCD of 659, 505, 272?

GCD of 659, 505, 272 is 1

2. Where do I get the detailed procedure to find GCD of 659, 505, 272?

You can find a detailed procedure to find GCD of 659, 505, 272 on our page.

3. How to find GCD of 659, 505, 272 on a calculator?

You can find the GCD of 659, 505, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.