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 374, 288, 99, 391 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 288, 99, 391 is 1
GCD(374, 288, 99, 391) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 288, 99, 391 is 1
GCD(374, 288, 99, 391) = 1
Given Input numbers are 374, 288, 99, 391
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Greatest Common Divisior
We found the divisors of 374, 288, 99, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 288, 99, 391 is 1.
Therefore, GCD of numbers 374, 288, 99, 391 is 1
Given Input Data is 374, 288, 99, 391
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 391 is 17 x 23
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(374, 288) = 53856
GCD(374, 288) = ( 374 x 288 ) / 53856
GCD(374, 288) = 107712 / 53856
GCD(374, 288) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
GCD of 374, 288, 99, 391 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 288, 99, 391?
GCD of 374, 288, 99, 391 is 1
2. Where do I get the detailed procedure to find GCD of 374, 288, 99, 391?
You can find a detailed procedure to find GCD of 374, 288, 99, 391 on our page.
3. How to find GCD of 374, 288, 99, 391 on a calculator?
You can find the GCD of 374, 288, 99, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.