GCD of 12, 820, 752, 873 Calculator

Given Input numbers are 12, 820, 752, 873

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 12, 820, 752, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 820, 752, 873 is 1.

Therefore, GCD of numbers 12, 820, 752, 873 is 1

Given Input Data is 12, 820, 752, 873

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 873 is 3 x 3 x 97

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(12, 820) = 2460

GCD(12, 820) = ( 12 x 820 ) / 2460

GCD(12, 820) = 9840 / 2460

GCD(12, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 752

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

LCM(4, 752) = 752

GCD(4, 752) = ( 4 x 752 ) / 752

GCD(4, 752) = 3008 / 752

GCD(4, 752) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 873

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

LCM(4, 873) = 3492

GCD(4, 873) = ( 4 x 873 ) / 3492

GCD(4, 873) = 3492 / 3492

GCD(4, 873) = 1

GCD of 12, 820, 752, 873 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 553, 248, 985
• GCD of 75, 409, 160, 786
• GCD of 69, 431, 328, 623
• GCD of 92, 769, 615, 480
• GCD of 14, 721, 985, 329

1. What is the GCD of 12, 820, 752, 873?

GCD of 12, 820, 752, 873 is 1

2. Where do I get the detailed procedure to find GCD of 12, 820, 752, 873?

You can find a detailed procedure to find GCD of 12, 820, 752, 873 on our page.

3. How to find GCD of 12, 820, 752, 873 on a calculator?

You can find the GCD of 12, 820, 752, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.