GCD of 96, 856, 900, 876 Calculator

Given Input numbers are 96, 856, 900, 876

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 96, 856, 900, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 856, 900, 876 is 4.

Therefore, GCD of numbers 96, 856, 900, 876 is 4

Given Input Data is 96, 856, 900, 876

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 876 is 2 x 2 x 3 x 73

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(96, 856) = 10272

GCD(96, 856) = ( 96 x 856 ) / 10272

GCD(96, 856) = 82176 / 10272

GCD(96, 856) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 900

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

LCM(8, 900) = 1800

GCD(8, 900) = ( 8 x 900 ) / 1800

GCD(8, 900) = 7200 / 1800

GCD(8, 900) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 876

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

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

GCD(4, 876) = 3504 / 876

GCD(4, 876) = 4

GCD of 96, 856, 900, 876 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 724, 247, 866
• GCD of 86, 935, 186, 386
• GCD of 76, 236, 531, 314
• GCD of 52, 460, 540, 528
• GCD of 28, 595, 818, 477

1. What is the GCD of 96, 856, 900, 876?

GCD of 96, 856, 900, 876 is 4

2. Where do I get the detailed procedure to find GCD of 96, 856, 900, 876?

You can find a detailed procedure to find GCD of 96, 856, 900, 876 on our page.

3. How to find GCD of 96, 856, 900, 876 on a calculator?

You can find the GCD of 96, 856, 900, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.