GCD of 342, 270, 37 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 342, 270, 37 i.e. 1 largest integer that divides all the numbers equally.

GCD of 342, 270, 37 is 1

GCD(342, 270, 37) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 342, 270, 37 is 1

GCD(342, 270, 37) = 1

GCD of 342,270,37 Calculator

GCDof 342,270,37 is 1

Given Input numbers are 342, 270, 37

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Greatest Common Divisior

We found the divisors of 342, 270, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 270, 37 is 1.

Therefore, GCD of numbers 342, 270, 37 is 1

Finding GCD of 342, 270, 37 using Prime Factorization

Given Input Data is 342, 270, 37

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 37 is 37

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 342, 270, 37 using LCM Formula

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(342, 270) = 5130

GCD(342, 270) = ( 342 x 270 ) / 5130

GCD(342, 270) = 92340 / 5130

GCD(342, 270) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 37

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

LCM(18, 37) = 666

GCD(18, 37) = ( 18 x 37 ) / 666

GCD(18, 37) = 666 / 666

GCD(18, 37) = 1

GCD of 342, 270, 37 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 342, 270, 37

1. What is the GCD of 342, 270, 37?

GCD of 342, 270, 37 is 1

2. Where do I get the detailed procedure to find GCD of 342, 270, 37?

You can find a detailed procedure to find GCD of 342, 270, 37 on our page.

3. How to find GCD of 342, 270, 37 on a calculator?

You can find the GCD of 342, 270, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.