GCD of 345, 938, 34, 312 Calculator

Given Input numbers are 345, 938, 34, 312

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

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 345, 938, 34, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 938, 34, 312 is 1.

Therefore, GCD of numbers 345, 938, 34, 312 is 1

Given Input Data is 345, 938, 34, 312

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 34 is 2 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(345, 938) = 323610

GCD(345, 938) = ( 345 x 938 ) / 323610

GCD(345, 938) = 323610 / 323610

GCD(345, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 345, 938, 34, 312 is 1

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1. What is the GCD of 345, 938, 34, 312?

GCD of 345, 938, 34, 312 is 1

2. Where do I get the detailed procedure to find GCD of 345, 938, 34, 312?

You can find a detailed procedure to find GCD of 345, 938, 34, 312 on our page.

3. How to find GCD of 345, 938, 34, 312 on a calculator?

You can find the GCD of 345, 938, 34, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.