GCD of 97, 350, 418, 822 Calculator

Given Input numbers are 97, 350, 418, 822

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 97, 350, 418, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 350, 418, 822 is 1.

Therefore, GCD of numbers 97, 350, 418, 822 is 1

Given Input Data is 97, 350, 418, 822

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

Prime Factorization of 97 is 97

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 822 is 2 x 3 x 137

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(97, 350) = 33950

GCD(97, 350) = ( 97 x 350 ) / 33950

GCD(97, 350) = 33950 / 33950

GCD(97, 350) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 97, 350, 418, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 420, 799, 589
• GCD of 69, 269, 552, 451
• GCD of 27, 127, 543, 453
• GCD of 33, 436, 363, 236
• GCD of 43, 284, 817, 804

1. What is the GCD of 97, 350, 418, 822?

GCD of 97, 350, 418, 822 is 1

2. Where do I get the detailed procedure to find GCD of 97, 350, 418, 822?

You can find a detailed procedure to find GCD of 97, 350, 418, 822 on our page.

3. How to find GCD of 97, 350, 418, 822 on a calculator?

You can find the GCD of 97, 350, 418, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.