GCD of 470, 367, 37, 345 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 470, 367, 37, 345 i.e. 1 largest integer that divides all the numbers equally.

GCD of 470, 367, 37, 345 is 1

GCD(470, 367, 37, 345) = 1

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

GCD of

GCD of numbers 470, 367, 37, 345 is 1

GCD(470, 367, 37, 345) = 1

GCD of 470,367,37,345 Calculator

GCDof 470,367,37,345 is 1

Given Input numbers are 470, 367, 37, 345

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 37

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

1, 37

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 470, 367, 37, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 367, 37, 345 is 1.

Therefore, GCD of numbers 470, 367, 37, 345 is 1

Finding GCD of 470, 367, 37, 345 using Prime Factorization

Given Input Data is 470, 367, 37, 345

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 367 is 367

Prime Factorization of 37 is 37

Prime Factorization of 345 is 3 x 5 x 23

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

Finding GCD of 470, 367, 37, 345 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(470, 367) = 172490

GCD(470, 367) = ( 470 x 367 ) / 172490

GCD(470, 367) = 172490 / 172490

GCD(470, 367) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 470, 367, 37, 345 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 470, 367, 37, 345

1. What is the GCD of 470, 367, 37, 345?

GCD of 470, 367, 37, 345 is 1


2. Where do I get the detailed procedure to find GCD of 470, 367, 37, 345?

You can find a detailed procedure to find GCD of 470, 367, 37, 345 on our page.


3. How to find GCD of 470, 367, 37, 345 on a calculator?

You can find the GCD of 470, 367, 37, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.