GCD of 343, 208, 99, 111 Calculator

Given Input numbers are 343, 208, 99, 111

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 343, 208, 99, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 208, 99, 111 is 1.

Therefore, GCD of numbers 343, 208, 99, 111 is 1

Given Input Data is 343, 208, 99, 111

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 111 is 3 x 37

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(343, 208) = 71344

GCD(343, 208) = ( 343 x 208 ) / 71344

GCD(343, 208) = 71344 / 71344

GCD(343, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 343, 208, 99, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 997, 60, 307
• GCD of 764, 993, 20, 511
• GCD of 445, 534, 21, 382
• GCD of 727, 959, 98, 736
• GCD of 905, 945, 41, 765

1. What is the GCD of 343, 208, 99, 111?

GCD of 343, 208, 99, 111 is 1

2. Where do I get the detailed procedure to find GCD of 343, 208, 99, 111?

You can find a detailed procedure to find GCD of 343, 208, 99, 111 on our page.

3. How to find GCD of 343, 208, 99, 111 on a calculator?

You can find the GCD of 343, 208, 99, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.