GCD of 348, 926, 612, 355 Calculator

Given Input numbers are 348, 926, 612, 355

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 348, 926, 612, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 926, 612, 355 is 1.

Therefore, GCD of numbers 348, 926, 612, 355 is 1

Given Input Data is 348, 926, 612, 355

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 926 is 2 x 463

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 355 is 5 x 71

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(348, 926) = 161124

GCD(348, 926) = ( 348 x 926 ) / 161124

GCD(348, 926) = 322248 / 161124

GCD(348, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

GCD of 348, 926, 612, 355 is 1

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1. What is the GCD of 348, 926, 612, 355?

GCD of 348, 926, 612, 355 is 1

2. Where do I get the detailed procedure to find GCD of 348, 926, 612, 355?

You can find a detailed procedure to find GCD of 348, 926, 612, 355 on our page.

3. How to find GCD of 348, 926, 612, 355 on a calculator?

You can find the GCD of 348, 926, 612, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.