GCD of 878, 860, 845, 686 Calculator

Given Input numbers are 878, 860, 845, 686

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 878, 860, 845, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 860, 845, 686 is 1.

Therefore, GCD of numbers 878, 860, 845, 686 is 1

Given Input Data is 878, 860, 845, 686

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(878, 860) = 377540

GCD(878, 860) = ( 878 x 860 ) / 377540

GCD(878, 860) = 755080 / 377540

GCD(878, 860) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 878, 860, 845, 686 is 1

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1. What is the GCD of 878, 860, 845, 686?

GCD of 878, 860, 845, 686 is 1

2. Where do I get the detailed procedure to find GCD of 878, 860, 845, 686?

You can find a detailed procedure to find GCD of 878, 860, 845, 686 on our page.

3. How to find GCD of 878, 860, 845, 686 on a calculator?

You can find the GCD of 878, 860, 845, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.