GCD of 726, 949, 387 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 726, 949, 387 i.e. 1 largest integer that divides all the numbers equally.

GCD of 726, 949, 387 is 1

GCD(726, 949, 387) = 1

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

GCD of

GCD of numbers 726, 949, 387 is 1

GCD(726, 949, 387) = 1

GCD of 726,949,387 Calculator

GCDof 726,949,387 is 1

Given Input numbers are 726, 949, 387

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 726, 949, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 949, 387 is 1.

Therefore, GCD of numbers 726, 949, 387 is 1

Finding GCD of 726, 949, 387 using Prime Factorization

Given Input Data is 726, 949, 387

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 949 is 13 x 73

Prime Factorization of 387 is 3 x 3 x 43

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

Finding GCD of 726, 949, 387 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(726, 949) = 688974

GCD(726, 949) = ( 726 x 949 ) / 688974

GCD(726, 949) = 688974 / 688974

GCD(726, 949) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 726, 949, 387 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 726, 949, 387

1. What is the GCD of 726, 949, 387?

GCD of 726, 949, 387 is 1


2. Where do I get the detailed procedure to find GCD of 726, 949, 387?

You can find a detailed procedure to find GCD of 726, 949, 387 on our page.


3. How to find GCD of 726, 949, 387 on a calculator?

You can find the GCD of 726, 949, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.