GCD of 798, 354, 381, 332 Calculator

Given Input numbers are 798, 354, 381, 332

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 798, 354, 381, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 354, 381, 332 is 1.

Therefore, GCD of numbers 798, 354, 381, 332 is 1

Given Input Data is 798, 354, 381, 332

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 381 is 3 x 127

Prime Factorization of 332 is 2 x 2 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(798, 354) = 47082

GCD(798, 354) = ( 798 x 354 ) / 47082

GCD(798, 354) = 282492 / 47082

GCD(798, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 381

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

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

GCD(6, 381) = 2286 / 762

GCD(6, 381) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 332

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

LCM(3, 332) = 996

GCD(3, 332) = ( 3 x 332 ) / 996

GCD(3, 332) = 996 / 996

GCD(3, 332) = 1

GCD of 798, 354, 381, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 224, 184, 893
• GCD of 327, 886, 531, 575
• GCD of 355, 572, 815, 371
• GCD of 432, 317, 614, 505
• GCD of 156, 458, 846, 635

1. What is the GCD of 798, 354, 381, 332?

GCD of 798, 354, 381, 332 is 1

2. Where do I get the detailed procedure to find GCD of 798, 354, 381, 332?

You can find a detailed procedure to find GCD of 798, 354, 381, 332 on our page.

3. How to find GCD of 798, 354, 381, 332 on a calculator?

You can find the GCD of 798, 354, 381, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.