GCD of 680, 820, 166, 869 Calculator

Given Input numbers are 680, 820, 166, 869

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

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 680, 820, 166, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 820, 166, 869 is 1.

Therefore, GCD of numbers 680, 820, 166, 869 is 1

Given Input Data is 680, 820, 166, 869

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

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 166 is 2 x 83

Prime Factorization of 869 is 11 x 79

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(680, 820) = 27880

GCD(680, 820) = ( 680 x 820 ) / 27880

GCD(680, 820) = 557600 / 27880

GCD(680, 820) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 166

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

LCM(20, 166) = 1660

GCD(20, 166) = ( 20 x 166 ) / 1660

GCD(20, 166) = 3320 / 1660

GCD(20, 166) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 680, 820, 166, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 742, 231, 958
• GCD of 360, 253, 981, 602
• GCD of 598, 411, 639, 288
• GCD of 122, 576, 604, 218
• GCD of 539, 542, 916, 869

1. What is the GCD of 680, 820, 166, 869?

GCD of 680, 820, 166, 869 is 1

2. Where do I get the detailed procedure to find GCD of 680, 820, 166, 869?

You can find a detailed procedure to find GCD of 680, 820, 166, 869 on our page.

3. How to find GCD of 680, 820, 166, 869 on a calculator?

You can find the GCD of 680, 820, 166, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.