GCD of 500, 174, 465, 680 Calculator

Given Input numbers are 500, 174, 465, 680

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 500, 174, 465, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 174, 465, 680 is 1.

Therefore, GCD of numbers 500, 174, 465, 680 is 1

Given Input Data is 500, 174, 465, 680

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 465 is 3 x 5 x 31

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(500, 174) = 43500

GCD(500, 174) = ( 500 x 174 ) / 43500

GCD(500, 174) = 87000 / 43500

GCD(500, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

Step3:

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 500, 174, 465, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 520, 663, 679
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1. What is the GCD of 500, 174, 465, 680?

GCD of 500, 174, 465, 680 is 1

2. Where do I get the detailed procedure to find GCD of 500, 174, 465, 680?

You can find a detailed procedure to find GCD of 500, 174, 465, 680 on our page.

3. How to find GCD of 500, 174, 465, 680 on a calculator?

You can find the GCD of 500, 174, 465, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.