GCD of 878, 852, 513, 861 Calculator

Given Input numbers are 878, 852, 513, 861

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 861

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

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

Greatest Common Divisior

We found the divisors of 878, 852, 513, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 852, 513, 861 is 1.

Therefore, GCD of numbers 878, 852, 513, 861 is 1

Given Input Data is 878, 852, 513, 861

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 861 is 3 x 7 x 41

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, 852) = 374028

GCD(878, 852) = ( 878 x 852 ) / 374028

GCD(878, 852) = 748056 / 374028

GCD(878, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 878, 852, 513, 861 is 1

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1. What is the GCD of 878, 852, 513, 861?

GCD of 878, 852, 513, 861 is 1

2. Where do I get the detailed procedure to find GCD of 878, 852, 513, 861?

You can find a detailed procedure to find GCD of 878, 852, 513, 861 on our page.

3. How to find GCD of 878, 852, 513, 861 on a calculator?

You can find the GCD of 878, 852, 513, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.