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 103, 363, 379, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 363, 379, 764 is 1
GCD(103, 363, 379, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 363, 379, 764 is 1
GCD(103, 363, 379, 764) = 1
Given Input numbers are 103, 363, 379, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 103, 363, 379, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 363, 379, 764 is 1.
Therefore, GCD of numbers 103, 363, 379, 764 is 1
Given Input Data is 103, 363, 379, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 379 is 379
Prime Factorization of 764 is 2 x 2 x 191
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(103, 363) = 37389
GCD(103, 363) = ( 103 x 363 ) / 37389
GCD(103, 363) = 37389 / 37389
GCD(103, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 103, 363, 379, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 363, 379, 764?
GCD of 103, 363, 379, 764 is 1
2. Where do I get the detailed procedure to find GCD of 103, 363, 379, 764?
You can find a detailed procedure to find GCD of 103, 363, 379, 764 on our page.
3. How to find GCD of 103, 363, 379, 764 on a calculator?
You can find the GCD of 103, 363, 379, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.