GCD of 362, 756, 998, 841 Calculator

Given Input numbers are 362, 756, 998, 841

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 362, 756, 998, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 756, 998, 841 is 1.

Therefore, GCD of numbers 362, 756, 998, 841 is 1

Given Input Data is 362, 756, 998, 841

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 841 is 29 x 29

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(362, 756) = 136836

GCD(362, 756) = ( 362 x 756 ) / 136836

GCD(362, 756) = 273672 / 136836

GCD(362, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 998

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

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

GCD(2, 998) = 1996 / 998

GCD(2, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

GCD of 362, 756, 998, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 120, 830, 134
• GCD of 729, 275, 169, 343
• GCD of 554, 451, 555, 612
• GCD of 290, 589, 941, 291
• GCD of 760, 194, 800, 319

1. What is the GCD of 362, 756, 998, 841?

GCD of 362, 756, 998, 841 is 1

2. Where do I get the detailed procedure to find GCD of 362, 756, 998, 841?

You can find a detailed procedure to find GCD of 362, 756, 998, 841 on our page.

3. How to find GCD of 362, 756, 998, 841 on a calculator?

You can find the GCD of 362, 756, 998, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.