GCD of 338, 802, 99, 276 Calculator

Given Input numbers are 338, 802, 99, 276

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 338, 802, 99, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 802, 99, 276 is 1.

Therefore, GCD of numbers 338, 802, 99, 276 is 1

Given Input Data is 338, 802, 99, 276

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 802 is 2 x 401

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(338, 802) = 135538

GCD(338, 802) = ( 338 x 802 ) / 135538

GCD(338, 802) = 271076 / 135538

GCD(338, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 338, 802, 99, 276 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 418, 36, 294
• GCD of 683, 577, 19, 463
• GCD of 493, 703, 83, 626
• GCD of 907, 717, 13, 156
• GCD of 169, 201, 91, 890

1. What is the GCD of 338, 802, 99, 276?

GCD of 338, 802, 99, 276 is 1

2. Where do I get the detailed procedure to find GCD of 338, 802, 99, 276?

You can find a detailed procedure to find GCD of 338, 802, 99, 276 on our page.

3. How to find GCD of 338, 802, 99, 276 on a calculator?

You can find the GCD of 338, 802, 99, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.