GCD of 350, 316, 799, 322 Calculator

Given Input numbers are 350, 316, 799, 322

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 350, 316, 799, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 316, 799, 322 is 1.

Therefore, GCD of numbers 350, 316, 799, 322 is 1

Given Input Data is 350, 316, 799, 322

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 799 is 17 x 47

Prime Factorization of 322 is 2 x 7 x 23

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(350, 316) = 55300

GCD(350, 316) = ( 350 x 316 ) / 55300

GCD(350, 316) = 110600 / 55300

GCD(350, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 799

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

LCM(2, 799) = 1598

GCD(2, 799) = ( 2 x 799 ) / 1598

GCD(2, 799) = 1598 / 1598

GCD(2, 799) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 350, 316, 799, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 851, 571, 416
• GCD of 985, 272, 984, 498
• GCD of 426, 181, 893, 417
• GCD of 408, 487, 150, 145
• GCD of 220, 537, 908, 814

1. What is the GCD of 350, 316, 799, 322?

GCD of 350, 316, 799, 322 is 1

2. Where do I get the detailed procedure to find GCD of 350, 316, 799, 322?

You can find a detailed procedure to find GCD of 350, 316, 799, 322 on our page.

3. How to find GCD of 350, 316, 799, 322 on a calculator?

You can find the GCD of 350, 316, 799, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.