GCD of 698, 996, 76, 363 Calculator

Given Input numbers are 698, 996, 76, 363

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 698, 996, 76, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 996, 76, 363 is 1.

Therefore, GCD of numbers 698, 996, 76, 363 is 1

Given Input Data is 698, 996, 76, 363

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 363 is 3 x 11 x 11

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(698, 996) = 347604

GCD(698, 996) = ( 698 x 996 ) / 347604

GCD(698, 996) = 695208 / 347604

GCD(698, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 363

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

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

GCD(2, 363) = 726 / 726

GCD(2, 363) = 1

GCD of 698, 996, 76, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 307, 76, 511
• GCD of 191, 429, 93, 556
• GCD of 847, 362, 33, 324
• GCD of 928, 201, 69, 131
• GCD of 326, 573, 89, 728

1. What is the GCD of 698, 996, 76, 363?

GCD of 698, 996, 76, 363 is 1

2. Where do I get the detailed procedure to find GCD of 698, 996, 76, 363?

You can find a detailed procedure to find GCD of 698, 996, 76, 363 on our page.

3. How to find GCD of 698, 996, 76, 363 on a calculator?

You can find the GCD of 698, 996, 76, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.