GCD of 338, 340, 981, 111 Calculator

Given Input numbers are 338, 340, 981, 111

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

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 338, 340, 981, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 340, 981, 111 is 1.

Therefore, GCD of numbers 338, 340, 981, 111 is 1

Given Input Data is 338, 340, 981, 111

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 981 is 3 x 3 x 109

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(338, 340) = 57460

GCD(338, 340) = ( 338 x 340 ) / 57460

GCD(338, 340) = 114920 / 57460

GCD(338, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 981

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

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

GCD(2, 981) = 1962 / 1962

GCD(2, 981) = 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 338, 340, 981, 111 is 1

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1. What is the GCD of 338, 340, 981, 111?

GCD of 338, 340, 981, 111 is 1

2. Where do I get the detailed procedure to find GCD of 338, 340, 981, 111?

You can find a detailed procedure to find GCD of 338, 340, 981, 111 on our page.

3. How to find GCD of 338, 340, 981, 111 on a calculator?

You can find the GCD of 338, 340, 981, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.