GCD of 346, 338, 423, 745 Calculator

Given Input numbers are 346, 338, 423, 745

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 346, 338, 423, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 338, 423, 745 is 1.

Therefore, GCD of numbers 346, 338, 423, 745 is 1

Given Input Data is 346, 338, 423, 745

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 745 is 5 x 149

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(346, 338) = 58474

GCD(346, 338) = ( 346 x 338 ) / 58474

GCD(346, 338) = 116948 / 58474

GCD(346, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 346, 338, 423, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 323, 633, 692
• GCD of 255, 477, 782, 919
• GCD of 456, 568, 786, 722
• GCD of 344, 303, 819, 772
• GCD of 771, 741, 408, 322

1. What is the GCD of 346, 338, 423, 745?

GCD of 346, 338, 423, 745 is 1

2. Where do I get the detailed procedure to find GCD of 346, 338, 423, 745?

You can find a detailed procedure to find GCD of 346, 338, 423, 745 on our page.

3. How to find GCD of 346, 338, 423, 745 on a calculator?

You can find the GCD of 346, 338, 423, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.