GCD of 852, 850, 20 Calculator

Given Input numbers are 852, 850, 20

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

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 852, 850, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 850, 20 is 2.

Therefore, GCD of numbers 852, 850, 20 is 2

Given Input Data is 852, 850, 20

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

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 20 is 2 x 2 x 5

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(852, 850) = 362100

GCD(852, 850) = ( 852 x 850 ) / 362100

GCD(852, 850) = 724200 / 362100

GCD(852, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

GCD of 852, 850, 20 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 911, 15
• GCD of 170, 259, 60
• GCD of 263, 152, 91
• GCD of 939, 818, 48
• GCD of 901, 851, 91

1. What is the GCD of 852, 850, 20?

GCD of 852, 850, 20 is 2

2. Where do I get the detailed procedure to find GCD of 852, 850, 20?

You can find a detailed procedure to find GCD of 852, 850, 20 on our page.

3. How to find GCD of 852, 850, 20 on a calculator?

You can find the GCD of 852, 850, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.