GCD of 381, 267, 907, 734 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, 267, 907, 734 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 267, 907, 734 is 1

GCD(381, 267, 907, 734) = 1

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

GCD of

GCD of numbers 381, 267, 907, 734 is 1

GCD(381, 267, 907, 734) = 1

GCD of 381,267,907,734 Calculator

GCDof 381,267,907,734 is 1

Given Input numbers are 381, 267, 907, 734

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 381, 267, 907, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 267, 907, 734 is 1.

Therefore, GCD of numbers 381, 267, 907, 734 is 1

Finding GCD of 381, 267, 907, 734 using Prime Factorization

Given Input Data is 381, 267, 907, 734

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 267 is 3 x 89

Prime Factorization of 907 is 907

Prime Factorization of 734 is 2 x 367

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

Finding GCD of 381, 267, 907, 734 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, 267) = 33909

GCD(381, 267) = ( 381 x 267 ) / 33909

GCD(381, 267) = 101727 / 33909

GCD(381, 267) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 907

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

LCM(3, 907) = 2721

GCD(3, 907) = ( 3 x 907 ) / 2721

GCD(3, 907) = 2721 / 2721

GCD(3, 907) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 381, 267, 907, 734 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 267, 907, 734

1. What is the GCD of 381, 267, 907, 734?

GCD of 381, 267, 907, 734 is 1


2. Where do I get the detailed procedure to find GCD of 381, 267, 907, 734?

You can find a detailed procedure to find GCD of 381, 267, 907, 734 on our page.


3. How to find GCD of 381, 267, 907, 734 on a calculator?

You can find the GCD of 381, 267, 907, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.