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 157, 808, 99, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 808, 99, 991 is 1
GCD(157, 808, 99, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 808, 99, 991 is 1
GCD(157, 808, 99, 991) = 1
Given Input numbers are 157, 808, 99, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 157, 808, 99, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 808, 99, 991 is 1.
Therefore, GCD of numbers 157, 808, 99, 991 is 1
Given Input Data is 157, 808, 99, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 991 is 991
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(157, 808) = 126856
GCD(157, 808) = ( 157 x 808 ) / 126856
GCD(157, 808) = 126856 / 126856
GCD(157, 808) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 157, 808, 99, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 808, 99, 991?
GCD of 157, 808, 99, 991 is 1
2. Where do I get the detailed procedure to find GCD of 157, 808, 99, 991?
You can find a detailed procedure to find GCD of 157, 808, 99, 991 on our page.
3. How to find GCD of 157, 808, 99, 991 on a calculator?
You can find the GCD of 157, 808, 99, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.