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 numbers 381, 267, 907, 734 is 1
GCD(381, 267, 907, 734) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.