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 635, 150, 398, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 150, 398, 793 is 1
GCD(635, 150, 398, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 150, 398, 793 is 1
GCD(635, 150, 398, 793) = 1
Given Input numbers are 635, 150, 398, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 635, 150, 398, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 150, 398, 793 is 1.
Therefore, GCD of numbers 635, 150, 398, 793 is 1
Given Input Data is 635, 150, 398, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 398 is 2 x 199
Prime Factorization of 793 is 13 x 61
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(635, 150) = 19050
GCD(635, 150) = ( 635 x 150 ) / 19050
GCD(635, 150) = 95250 / 19050
GCD(635, 150) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 398) = 1990
GCD(5, 398) = ( 5 x 398 ) / 1990
GCD(5, 398) = 1990 / 1990
GCD(5, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 635, 150, 398, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 150, 398, 793?
GCD of 635, 150, 398, 793 is 1
2. Where do I get the detailed procedure to find GCD of 635, 150, 398, 793?
You can find a detailed procedure to find GCD of 635, 150, 398, 793 on our page.
3. How to find GCD of 635, 150, 398, 793 on a calculator?
You can find the GCD of 635, 150, 398, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.