GCD of 334, 345, 111, 959 Calculator

Given Input numbers are 334, 345, 111, 959

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 111

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

1, 3, 37, 111

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 334, 345, 111, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 345, 111, 959 is 1.

Therefore, GCD of numbers 334, 345, 111, 959 is 1

Given Input Data is 334, 345, 111, 959

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 111 is 3 x 37

Prime Factorization of 959 is 7 x 137

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(334, 345) = 115230

GCD(334, 345) = ( 334 x 345 ) / 115230

GCD(334, 345) = 115230 / 115230

GCD(334, 345) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 334, 345, 111, 959 is 1

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1. What is the GCD of 334, 345, 111, 959?

GCD of 334, 345, 111, 959 is 1

2. Where do I get the detailed procedure to find GCD of 334, 345, 111, 959?

You can find a detailed procedure to find GCD of 334, 345, 111, 959 on our page.

3. How to find GCD of 334, 345, 111, 959 on a calculator?

You can find the GCD of 334, 345, 111, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.