GCD of 505, 628, 680 Calculator

Given Input numbers are 505, 628, 680

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 505, 628, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 628, 680 is 1.

Therefore, GCD of numbers 505, 628, 680 is 1

Given Input Data is 505, 628, 680

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(505, 628) = 317140

GCD(505, 628) = ( 505 x 628 ) / 317140

GCD(505, 628) = 317140 / 317140

GCD(505, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 505, 628, 680 is 1

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1. What is the GCD of 505, 628, 680?

GCD of 505, 628, 680 is 1

2. Where do I get the detailed procedure to find GCD of 505, 628, 680?

You can find a detailed procedure to find GCD of 505, 628, 680 on our page.

3. How to find GCD of 505, 628, 680 on a calculator?

You can find the GCD of 505, 628, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.