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 368, 454, 344, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 454, 344, 733 is 1
GCD(368, 454, 344, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 454, 344, 733 is 1
GCD(368, 454, 344, 733) = 1
Given Input numbers are 368, 454, 344, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Greatest Common Divisior
We found the divisors of 368, 454, 344, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 454, 344, 733 is 1.
Therefore, GCD of numbers 368, 454, 344, 733 is 1
Given Input Data is 368, 454, 344, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 454 is 2 x 227
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 733 is 733
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(368, 454) = 83536
GCD(368, 454) = ( 368 x 454 ) / 83536
GCD(368, 454) = 167072 / 83536
GCD(368, 454) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 344
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
GCD(2, 344) = 688 / 344
GCD(2, 344) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
GCD of 368, 454, 344, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 454, 344, 733?
GCD of 368, 454, 344, 733 is 1
2. Where do I get the detailed procedure to find GCD of 368, 454, 344, 733?
You can find a detailed procedure to find GCD of 368, 454, 344, 733 on our page.
3. How to find GCD of 368, 454, 344, 733 on a calculator?
You can find the GCD of 368, 454, 344, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.