GCD of 381, 747, 406, 737 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 381, 747, 406, 737 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 747, 406, 737 is 1

GCD(381, 747, 406, 737) = 1

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

GCD of

GCD of numbers 381, 747, 406, 737 is 1

GCD(381, 747, 406, 737) = 1

GCD of 381,747,406,737 Calculator

GCDof 381,747,406,737 is 1

Given Input numbers are 381, 747, 406, 737

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 381, 747, 406, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 747, 406, 737 is 1.

Therefore, GCD of numbers 381, 747, 406, 737 is 1

Finding GCD of 381, 747, 406, 737 using Prime Factorization

Given Input Data is 381, 747, 406, 737

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 737 is 11 x 67

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

Finding GCD of 381, 747, 406, 737 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(381, 747) = 94869

GCD(381, 747) = ( 381 x 747 ) / 94869

GCD(381, 747) = 284607 / 94869

GCD(381, 747) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 406

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

LCM(3, 406) = 1218

GCD(3, 406) = ( 3 x 406 ) / 1218

GCD(3, 406) = 1218 / 1218

GCD(3, 406) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 381, 747, 406, 737 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 747, 406, 737

1. What is the GCD of 381, 747, 406, 737?

GCD of 381, 747, 406, 737 is 1


2. Where do I get the detailed procedure to find GCD of 381, 747, 406, 737?

You can find a detailed procedure to find GCD of 381, 747, 406, 737 on our page.


3. How to find GCD of 381, 747, 406, 737 on a calculator?

You can find the GCD of 381, 747, 406, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.