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 343, 283, 936, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 283, 936, 365 is 1
GCD(343, 283, 936, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 283, 936, 365 is 1
GCD(343, 283, 936, 365) = 1
Given Input numbers are 343, 283, 936, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 343, 283, 936, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 283, 936, 365 is 1.
Therefore, GCD of numbers 343, 283, 936, 365 is 1
Given Input Data is 343, 283, 936, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 283 is 283
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 365 is 5 x 73
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(343, 283) = 97069
GCD(343, 283) = ( 343 x 283 ) / 97069
GCD(343, 283) = 97069 / 97069
GCD(343, 283) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
GCD of 343, 283, 936, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 283, 936, 365?
GCD of 343, 283, 936, 365 is 1
2. Where do I get the detailed procedure to find GCD of 343, 283, 936, 365?
You can find a detailed procedure to find GCD of 343, 283, 936, 365 on our page.
3. How to find GCD of 343, 283, 936, 365 on a calculator?
You can find the GCD of 343, 283, 936, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.