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 numbers 381, 747, 406, 737 is 1
GCD(381, 747, 406, 737) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.