GCD of 878, 964, 300, 868 Calculator

Given Input numbers are 878, 964, 300, 868

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 878, 964, 300, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 964, 300, 868 is 2.

Therefore, GCD of numbers 878, 964, 300, 868 is 2

Given Input Data is 878, 964, 300, 868

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 964) = 423196

GCD(878, 964) = ( 878 x 964 ) / 423196

GCD(878, 964) = 846392 / 423196

GCD(878, 964) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

GCD of 878, 964, 300, 868 is 2

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1. What is the GCD of 878, 964, 300, 868?

GCD of 878, 964, 300, 868 is 2

2. Where do I get the detailed procedure to find GCD of 878, 964, 300, 868?

You can find a detailed procedure to find GCD of 878, 964, 300, 868 on our page.

3. How to find GCD of 878, 964, 300, 868 on a calculator?

You can find the GCD of 878, 964, 300, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.