GCD of 305, 394, 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 305, 394, 37 i.e. 1 largest integer that divides all the numbers equally.

GCD of 305, 394, 37 is 1

GCD(305, 394, 37) = 1

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

GCD of

GCD of numbers 305, 394, 37 is 1

GCD(305, 394, 37) = 1

GCD of 305,394,37 Calculator

GCDof 305,394,37 is 1

Given Input numbers are 305, 394, 37

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 305, 394, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 394, 37 is 1.

Therefore, GCD of numbers 305, 394, 37 is 1

Finding GCD of 305, 394, 37 using Prime Factorization

Given Input Data is 305, 394, 37

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 394 is 2 x 197

Prime Factorization of 37 is 37

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

Finding GCD of 305, 394, 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(305, 394) = 120170

GCD(305, 394) = ( 305 x 394 ) / 120170

GCD(305, 394) = 120170 / 120170

GCD(305, 394) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

GCD of 305, 394, 37 is 1

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FAQs on GCD of numbers 305, 394, 37

1. What is the GCD of 305, 394, 37?

GCD of 305, 394, 37 is 1

2. Where do I get the detailed procedure to find GCD of 305, 394, 37?

You can find a detailed procedure to find GCD of 305, 394, 37 on our page.

3. How to find GCD of 305, 394, 37 on a calculator?

You can find the GCD of 305, 394, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.