GCD of 123, 806, 852, 850 Calculator

Given Input numbers are 123, 806, 852, 850

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

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

Greatest Common Divisior

We found the divisors of 123, 806, 852, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 806, 852, 850 is 1.

Therefore, GCD of numbers 123, 806, 852, 850 is 1

Given Input Data is 123, 806, 852, 850

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 806 is 2 x 13 x 31

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

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

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(123, 806) = 99138

GCD(123, 806) = ( 123 x 806 ) / 99138

GCD(123, 806) = 99138 / 99138

GCD(123, 806) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 123, 806, 852, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 619, 545, 526
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• GCD of 629, 837, 256, 115

1. What is the GCD of 123, 806, 852, 850?

GCD of 123, 806, 852, 850 is 1

2. Where do I get the detailed procedure to find GCD of 123, 806, 852, 850?

You can find a detailed procedure to find GCD of 123, 806, 852, 850 on our page.

3. How to find GCD of 123, 806, 852, 850 on a calculator?

You can find the GCD of 123, 806, 852, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.