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 369, 701, 363, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 701, 363, 623 is 1
GCD(369, 701, 363, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 701, 363, 623 is 1
GCD(369, 701, 363, 623) = 1
Given Input numbers are 369, 701, 363, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 369, 701, 363, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 701, 363, 623 is 1.
Therefore, GCD of numbers 369, 701, 363, 623 is 1
Given Input Data is 369, 701, 363, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 701 is 701
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 623 is 7 x 89
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(369, 701) = 258669
GCD(369, 701) = ( 369 x 701 ) / 258669
GCD(369, 701) = 258669 / 258669
GCD(369, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
GCD(1, 363) = 363 / 363
GCD(1, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 369, 701, 363, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 701, 363, 623?
GCD of 369, 701, 363, 623 is 1
2. Where do I get the detailed procedure to find GCD of 369, 701, 363, 623?
You can find a detailed procedure to find GCD of 369, 701, 363, 623 on our page.
3. How to find GCD of 369, 701, 363, 623 on a calculator?
You can find the GCD of 369, 701, 363, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.