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 398, 137, 438, 733 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 137, 438, 733 is 1
GCD(398, 137, 438, 733) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 137, 438, 733 is 1
GCD(398, 137, 438, 733) = 1
Given Input numbers are 398, 137, 438, 733
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
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 398, 137, 438, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 137, 438, 733 is 1.
Therefore, GCD of numbers 398, 137, 438, 733 is 1
Given Input Data is 398, 137, 438, 733
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 137 is 137
Prime Factorization of 438 is 2 x 3 x 73
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(398, 137) = 54526
GCD(398, 137) = ( 398 x 137 ) / 54526
GCD(398, 137) = 54526 / 54526
GCD(398, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
GCD of 398, 137, 438, 733 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 137, 438, 733?
GCD of 398, 137, 438, 733 is 1
2. Where do I get the detailed procedure to find GCD of 398, 137, 438, 733?
You can find a detailed procedure to find GCD of 398, 137, 438, 733 on our page.
3. How to find GCD of 398, 137, 438, 733 on a calculator?
You can find the GCD of 398, 137, 438, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.