GCD of 119, 343, 99, 228 Calculator

Given Input numbers are 119, 343, 99, 228

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 119, 343, 99, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 343, 99, 228 is 1.

Therefore, GCD of numbers 119, 343, 99, 228 is 1

Given Input Data is 119, 343, 99, 228

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(119, 343) = 5831

GCD(119, 343) = ( 119 x 343 ) / 5831

GCD(119, 343) = 40817 / 5831

GCD(119, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 99

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

LCM(7, 99) = 693

GCD(7, 99) = ( 7 x 99 ) / 693

GCD(7, 99) = 693 / 693

GCD(7, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

GCD of 119, 343, 99, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 576, 56, 927
• GCD of 273, 881, 19, 131
• GCD of 133, 145, 57, 990
• GCD of 236, 993, 27, 489
• GCD of 162, 745, 86, 814

1. What is the GCD of 119, 343, 99, 228?

GCD of 119, 343, 99, 228 is 1

2. Where do I get the detailed procedure to find GCD of 119, 343, 99, 228?

You can find a detailed procedure to find GCD of 119, 343, 99, 228 on our page.

3. How to find GCD of 119, 343, 99, 228 on a calculator?

You can find the GCD of 119, 343, 99, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.