GCD of 345, 412, 791, 914 Calculator

Given Input numbers are 345, 412, 791, 914

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 345, 412, 791, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 412, 791, 914 is 1.

Therefore, GCD of numbers 345, 412, 791, 914 is 1

Given Input Data is 345, 412, 791, 914

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 412 is 2 x 2 x 103

Prime Factorization of 791 is 7 x 113

Prime Factorization of 914 is 2 x 457

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, 412) = 142140

GCD(345, 412) = ( 345 x 412 ) / 142140

GCD(345, 412) = 142140 / 142140

GCD(345, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 345, 412, 791, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 646, 998, 211
• GCD of 903, 209, 246, 185
• GCD of 938, 143, 859, 615
• GCD of 296, 874, 320, 591
• GCD of 280, 296, 452, 759

1. What is the GCD of 345, 412, 791, 914?

GCD of 345, 412, 791, 914 is 1

2. Where do I get the detailed procedure to find GCD of 345, 412, 791, 914?

You can find a detailed procedure to find GCD of 345, 412, 791, 914 on our page.

3. How to find GCD of 345, 412, 791, 914 on a calculator?

You can find the GCD of 345, 412, 791, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.