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 99, 834, 149, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 834, 149, 793 is 1
GCD(99, 834, 149, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 834, 149, 793 is 1
GCD(99, 834, 149, 793) = 1
Given Input numbers are 99, 834, 149, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
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 99, 834, 149, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 834, 149, 793 is 1.
Therefore, GCD of numbers 99, 834, 149, 793 is 1
Given Input Data is 99, 834, 149, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 149 is 149
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(99, 834) = 27522
GCD(99, 834) = ( 99 x 834 ) / 27522
GCD(99, 834) = 82566 / 27522
GCD(99, 834) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 149) = 447
GCD(3, 149) = ( 3 x 149 ) / 447
GCD(3, 149) = 447 / 447
GCD(3, 149) = 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 99, 834, 149, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 834, 149, 793?
GCD of 99, 834, 149, 793 is 1
2. Where do I get the detailed procedure to find GCD of 99, 834, 149, 793?
You can find a detailed procedure to find GCD of 99, 834, 149, 793 on our page.
3. How to find GCD of 99, 834, 149, 793 on a calculator?
You can find the GCD of 99, 834, 149, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.