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, 157, 169, 796 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 157, 169, 796 is 1
GCD(99, 157, 169, 796) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 157, 169, 796 is 1
GCD(99, 157, 169, 796) = 1
Given Input numbers are 99, 157, 169, 796
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 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 99, 157, 169, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 157, 169, 796 is 1.
Therefore, GCD of numbers 99, 157, 169, 796 is 1
Given Input Data is 99, 157, 169, 796
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 157 is 157
Prime Factorization of 169 is 13 x 13
Prime Factorization of 796 is 2 x 2 x 199
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, 157) = 15543
GCD(99, 157) = ( 99 x 157 ) / 15543
GCD(99, 157) = 15543 / 15543
GCD(99, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
GCD of 99, 157, 169, 796 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 157, 169, 796?
GCD of 99, 157, 169, 796 is 1
2. Where do I get the detailed procedure to find GCD of 99, 157, 169, 796?
You can find a detailed procedure to find GCD of 99, 157, 169, 796 on our page.
3. How to find GCD of 99, 157, 169, 796 on a calculator?
You can find the GCD of 99, 157, 169, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.