GCD of 185, 343, 675, 845 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 185, 343, 675, 845 i.e. 1 largest integer that divides all the numbers equally.

GCD of 185, 343, 675, 845 is 1

GCD(185, 343, 675, 845) = 1

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

GCD of

GCD of numbers 185, 343, 675, 845 is 1

GCD(185, 343, 675, 845) = 1

GCD of 185,343,675,845 Calculator

GCDof 185,343,675,845 is 1

Given Input numbers are 185, 343, 675, 845

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 185, 343, 675, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 343, 675, 845 is 1.

Therefore, GCD of numbers 185, 343, 675, 845 is 1

Finding GCD of 185, 343, 675, 845 using Prime Factorization

Given Input Data is 185, 343, 675, 845

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 845 is 5 x 13 x 13

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

Finding GCD of 185, 343, 675, 845 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(185, 343) = 63455

GCD(185, 343) = ( 185 x 343 ) / 63455

GCD(185, 343) = 63455 / 63455

GCD(185, 343) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 185, 343, 675, 845 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 185, 343, 675, 845

1. What is the GCD of 185, 343, 675, 845?

GCD of 185, 343, 675, 845 is 1


2. Where do I get the detailed procedure to find GCD of 185, 343, 675, 845?

You can find a detailed procedure to find GCD of 185, 343, 675, 845 on our page.


3. How to find GCD of 185, 343, 675, 845 on a calculator?

You can find the GCD of 185, 343, 675, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.