GCD of 361, 898, 392, 497 Calculator

Given Input numbers are 361, 898, 392, 497

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 361, 898, 392, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 898, 392, 497 is 1.

Therefore, GCD of numbers 361, 898, 392, 497 is 1

Given Input Data is 361, 898, 392, 497

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 898 is 2 x 449

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 497 is 7 x 71

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(361, 898) = 324178

GCD(361, 898) = ( 361 x 898 ) / 324178

GCD(361, 898) = 324178 / 324178

GCD(361, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 361, 898, 392, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 569, 239, 589
• GCD of 418, 291, 180, 898
• GCD of 990, 258, 978, 169
• GCD of 109, 408, 986, 558
• GCD of 117, 702, 280, 336

1. What is the GCD of 361, 898, 392, 497?

GCD of 361, 898, 392, 497 is 1

2. Where do I get the detailed procedure to find GCD of 361, 898, 392, 497?

You can find a detailed procedure to find GCD of 361, 898, 392, 497 on our page.

3. How to find GCD of 361, 898, 392, 497 on a calculator?

You can find the GCD of 361, 898, 392, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.