GCD of 32, 180, 858, 878 Calculator

Given Input numbers are 32, 180, 858, 878

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 878

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

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 32, 180, 858, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 180, 858, 878 is 2.

Therefore, GCD of numbers 32, 180, 858, 878 is 2

Given Input Data is 32, 180, 858, 878

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 878 is 2 x 439

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(32, 180) = 1440

GCD(32, 180) = ( 32 x 180 ) / 1440

GCD(32, 180) = 5760 / 1440

GCD(32, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 858

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

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

GCD(4, 858) = 3432 / 1716

GCD(4, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

GCD of 32, 180, 858, 878 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 458, 911, 150
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• GCD of 24, 400, 860, 366
• GCD of 65, 601, 523, 413
• GCD of 95, 147, 611, 966

1. What is the GCD of 32, 180, 858, 878?

GCD of 32, 180, 858, 878 is 2

2. Where do I get the detailed procedure to find GCD of 32, 180, 858, 878?

You can find a detailed procedure to find GCD of 32, 180, 858, 878 on our page.

3. How to find GCD of 32, 180, 858, 878 on a calculator?

You can find the GCD of 32, 180, 858, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.