GCD of 126, 165, 348, 397 Calculator

Given Input numbers are 126, 165, 348, 397

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 126, 165, 348, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 165, 348, 397 is 1.

Therefore, GCD of numbers 126, 165, 348, 397 is 1

Given Input Data is 126, 165, 348, 397

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 165 is 3 x 5 x 11

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

Prime Factorization of 397 is 397

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(126, 165) = 6930

GCD(126, 165) = ( 126 x 165 ) / 6930

GCD(126, 165) = 20790 / 6930

GCD(126, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 397

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

LCM(3, 397) = 1191

GCD(3, 397) = ( 3 x 397 ) / 1191

GCD(3, 397) = 1191 / 1191

GCD(3, 397) = 1

GCD of 126, 165, 348, 397 is 1

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1. What is the GCD of 126, 165, 348, 397?

GCD of 126, 165, 348, 397 is 1

2. Where do I get the detailed procedure to find GCD of 126, 165, 348, 397?

You can find a detailed procedure to find GCD of 126, 165, 348, 397 on our page.

3. How to find GCD of 126, 165, 348, 397 on a calculator?

You can find the GCD of 126, 165, 348, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.