GCD of 736, 315, 185 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 736, 315, 185 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 315, 185 is 1

GCD(736, 315, 185) = 1

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

GCD of

GCD of numbers 736, 315, 185 is 1

GCD(736, 315, 185) = 1

GCD of 736,315,185 Calculator

GCDof 736,315,185 is 1

Given Input numbers are 736, 315, 185

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 185

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

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 736, 315, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 315, 185 is 1.

Therefore, GCD of numbers 736, 315, 185 is 1

Finding GCD of 736, 315, 185 using Prime Factorization

Given Input Data is 736, 315, 185

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 185 is 5 x 37

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

Finding GCD of 736, 315, 185 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(736, 315) = 231840

GCD(736, 315) = ( 736 x 315 ) / 231840

GCD(736, 315) = 231840 / 231840

GCD(736, 315) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

GCD of 736, 315, 185 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 315, 185

1. What is the GCD of 736, 315, 185?

GCD of 736, 315, 185 is 1


2. Where do I get the detailed procedure to find GCD of 736, 315, 185?

You can find a detailed procedure to find GCD of 736, 315, 185 on our page.


3. How to find GCD of 736, 315, 185 on a calculator?

You can find the GCD of 736, 315, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.