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 100, 304, 289, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 304, 289, 194 is 1
GCD(100, 304, 289, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 304, 289, 194 is 1
GCD(100, 304, 289, 194) = 1
Given Input numbers are 100, 304, 289, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Greatest Common Divisior
We found the divisors of 100, 304, 289, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 304, 289, 194 is 1.
Therefore, GCD of numbers 100, 304, 289, 194 is 1
Given Input Data is 100, 304, 289, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 289 is 17 x 17
Prime Factorization of 194 is 2 x 97
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(100, 304) = 7600
GCD(100, 304) = ( 100 x 304 ) / 7600
GCD(100, 304) = 30400 / 7600
GCD(100, 304) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 289) = 1156
GCD(4, 289) = ( 4 x 289 ) / 1156
GCD(4, 289) = 1156 / 1156
GCD(4, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
GCD of 100, 304, 289, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 304, 289, 194?
GCD of 100, 304, 289, 194 is 1
2. Where do I get the detailed procedure to find GCD of 100, 304, 289, 194?
You can find a detailed procedure to find GCD of 100, 304, 289, 194 on our page.
3. How to find GCD of 100, 304, 289, 194 on a calculator?
You can find the GCD of 100, 304, 289, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.