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 737, 381, 13, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 381, 13, 165 is 1
GCD(737, 381, 13, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 381, 13, 165 is 1
GCD(737, 381, 13, 165) = 1
Given Input numbers are 737, 381, 13, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 737, 381, 13, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 381, 13, 165 is 1.
Therefore, GCD of numbers 737, 381, 13, 165 is 1
Given Input Data is 737, 381, 13, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 381 is 3 x 127
Prime Factorization of 13 is 13
Prime Factorization of 165 is 3 x 5 x 11
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(737, 381) = 280797
GCD(737, 381) = ( 737 x 381 ) / 280797
GCD(737, 381) = 280797 / 280797
GCD(737, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 737, 381, 13, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 381, 13, 165?
GCD of 737, 381, 13, 165 is 1
2. Where do I get the detailed procedure to find GCD of 737, 381, 13, 165?
You can find a detailed procedure to find GCD of 737, 381, 13, 165 on our page.
3. How to find GCD of 737, 381, 13, 165 on a calculator?
You can find the GCD of 737, 381, 13, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.