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, 191, 90 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 191, 90 is 1
GCD(157, 191, 90) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 191, 90 is 1
GCD(157, 191, 90) = 1
Given Input numbers are 157, 191, 90
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 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 157, 191, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 191, 90 is 1.
Therefore, GCD of numbers 157, 191, 90 is 1
Given Input Data is 157, 191, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 191 is 191
Prime Factorization of 90 is 2 x 3 x 3 x 5
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, 191) = 29987
GCD(157, 191) = ( 157 x 191 ) / 29987
GCD(157, 191) = 29987 / 29987
GCD(157, 191) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
GCD of 157, 191, 90 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 191, 90?
GCD of 157, 191, 90 is 1
2. Where do I get the detailed procedure to find GCD of 157, 191, 90?
You can find a detailed procedure to find GCD of 157, 191, 90 on our page.
3. How to find GCD of 157, 191, 90 on a calculator?
You can find the GCD of 157, 191, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.