GCD of 870, 861, 728, 268 Calculator

Given Input numbers are 870, 861, 728, 268

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 870, 861, 728, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 861, 728, 268 is 1.

Therefore, GCD of numbers 870, 861, 728, 268 is 1

Given Input Data is 870, 861, 728, 268

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 268 is 2 x 2 x 67

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(870, 861) = 249690

GCD(870, 861) = ( 870 x 861 ) / 249690

GCD(870, 861) = 749070 / 249690

GCD(870, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 870, 861, 728, 268 is 1

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1. What is the GCD of 870, 861, 728, 268?

GCD of 870, 861, 728, 268 is 1

2. Where do I get the detailed procedure to find GCD of 870, 861, 728, 268?

You can find a detailed procedure to find GCD of 870, 861, 728, 268 on our page.

3. How to find GCD of 870, 861, 728, 268 on a calculator?

You can find the GCD of 870, 861, 728, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.