GCD of 50, 973, 318, 830 Calculator

Given Input numbers are 50, 973, 318, 830

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 50, 973, 318, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 973, 318, 830 is 1.

Therefore, GCD of numbers 50, 973, 318, 830 is 1

Given Input Data is 50, 973, 318, 830

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 973 is 7 x 139

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 830 is 2 x 5 x 83

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(50, 973) = 48650

GCD(50, 973) = ( 50 x 973 ) / 48650

GCD(50, 973) = 48650 / 48650

GCD(50, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 50, 973, 318, 830 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 907, 294, 171
• GCD of 25, 599, 110, 522
• GCD of 55, 145, 362, 739
• GCD of 47, 751, 676, 496
• GCD of 55, 375, 591, 283

1. What is the GCD of 50, 973, 318, 830?

GCD of 50, 973, 318, 830 is 1

2. Where do I get the detailed procedure to find GCD of 50, 973, 318, 830?

You can find a detailed procedure to find GCD of 50, 973, 318, 830 on our page.

3. How to find GCD of 50, 973, 318, 830 on a calculator?

You can find the GCD of 50, 973, 318, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.