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, 242, 394, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 242, 394, 165 is 1
GCD(157, 242, 394, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 242, 394, 165 is 1
GCD(157, 242, 394, 165) = 1
Given Input numbers are 157, 242, 394, 165
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 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 157, 242, 394, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 242, 394, 165 is 1.
Therefore, GCD of numbers 157, 242, 394, 165 is 1
Given Input Data is 157, 242, 394, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 394 is 2 x 197
Prime Factorization of 165 is 3 x 5 x 11
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, 242) = 37994
GCD(157, 242) = ( 157 x 242 ) / 37994
GCD(157, 242) = 37994 / 37994
GCD(157, 242) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
GCD(1, 165) = 165 / 165
GCD(1, 165) = 1
GCD of 157, 242, 394, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 242, 394, 165?
GCD of 157, 242, 394, 165 is 1
2. Where do I get the detailed procedure to find GCD of 157, 242, 394, 165?
You can find a detailed procedure to find GCD of 157, 242, 394, 165 on our page.
3. How to find GCD of 157, 242, 394, 165 on a calculator?
You can find the GCD of 157, 242, 394, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.