GCD of 173, 842, 782, 850 Calculator

Given Input numbers are 173, 842, 782, 850

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 173, 842, 782, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 842, 782, 850 is 1.

Therefore, GCD of numbers 173, 842, 782, 850 is 1

Given Input Data is 173, 842, 782, 850

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

Prime Factorization of 173 is 173

Prime Factorization of 842 is 2 x 421

Prime Factorization of 782 is 2 x 17 x 23

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(173, 842) = 145666

GCD(173, 842) = ( 173 x 842 ) / 145666

GCD(173, 842) = 145666 / 145666

GCD(173, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 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 173, 842, 782, 850 is 1

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1. What is the GCD of 173, 842, 782, 850?

GCD of 173, 842, 782, 850 is 1

2. Where do I get the detailed procedure to find GCD of 173, 842, 782, 850?

You can find a detailed procedure to find GCD of 173, 842, 782, 850 on our page.

3. How to find GCD of 173, 842, 782, 850 on a calculator?

You can find the GCD of 173, 842, 782, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.