GCD of 680, 296, 798, 869 Calculator

Given Input numbers are 680, 296, 798, 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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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, 296, 798, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 296, 798, 869 is 1.

Therefore, GCD of numbers 680, 296, 798, 869 is 1

Given Input Data is 680, 296, 798, 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 296 is 2 x 2 x 2 x 37

Prime Factorization of 798 is 2 x 3 x 7 x 19

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, 296) = 25160

GCD(680, 296) = ( 680 x 296 ) / 25160

GCD(680, 296) = 201280 / 25160

GCD(680, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 798

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

LCM(8, 798) = 3192

GCD(8, 798) = ( 8 x 798 ) / 3192

GCD(8, 798) = 6384 / 3192

GCD(8, 798) = 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, 296, 798, 869 is 1

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1. What is the GCD of 680, 296, 798, 869?

GCD of 680, 296, 798, 869 is 1

2. Where do I get the detailed procedure to find GCD of 680, 296, 798, 869?

You can find a detailed procedure to find GCD of 680, 296, 798, 869 on our page.

3. How to find GCD of 680, 296, 798, 869 on a calculator?

You can find the GCD of 680, 296, 798, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.