GCD of 65, 830, 680, 173 Calculator

Given Input numbers are 65, 830, 680, 173

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 65, 830, 680, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 830, 680, 173 is 1.

Therefore, GCD of numbers 65, 830, 680, 173 is 1

Given Input Data is 65, 830, 680, 173

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 173 is 173

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(65, 830) = 10790

GCD(65, 830) = ( 65 x 830 ) / 10790

GCD(65, 830) = 53950 / 10790

GCD(65, 830) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 680

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

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

GCD(5, 680) = 3400 / 680

GCD(5, 680) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 173

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

LCM(5, 173) = 865

GCD(5, 173) = ( 5 x 173 ) / 865

GCD(5, 173) = 865 / 865

GCD(5, 173) = 1

GCD of 65, 830, 680, 173 is 1

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• GCD of 59, 340, 132, 172
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1. What is the GCD of 65, 830, 680, 173?

GCD of 65, 830, 680, 173 is 1

2. Where do I get the detailed procedure to find GCD of 65, 830, 680, 173?

You can find a detailed procedure to find GCD of 65, 830, 680, 173 on our page.

3. How to find GCD of 65, 830, 680, 173 on a calculator?

You can find the GCD of 65, 830, 680, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.