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 231, 897, 99, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 897, 99, 374 is 1
GCD(231, 897, 99, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 897, 99, 374 is 1
GCD(231, 897, 99, 374) = 1
Given Input numbers are 231, 897, 99, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 231, 897, 99, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 897, 99, 374 is 1.
Therefore, GCD of numbers 231, 897, 99, 374 is 1
Given Input Data is 231, 897, 99, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 374 is 2 x 11 x 17
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(231, 897) = 69069
GCD(231, 897) = ( 231 x 897 ) / 69069
GCD(231, 897) = 207207 / 69069
GCD(231, 897) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 374) = 1122
GCD(3, 374) = ( 3 x 374 ) / 1122
GCD(3, 374) = 1122 / 1122
GCD(3, 374) = 1
GCD of 231, 897, 99, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 897, 99, 374?
GCD of 231, 897, 99, 374 is 1
2. Where do I get the detailed procedure to find GCD of 231, 897, 99, 374?
You can find a detailed procedure to find GCD of 231, 897, 99, 374 on our page.
3. How to find GCD of 231, 897, 99, 374 on a calculator?
You can find the GCD of 231, 897, 99, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.