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 897, 338, 93, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 338, 93, 110 is 1
GCD(897, 338, 93, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 338, 93, 110 is 1
GCD(897, 338, 93, 110) = 1
Given Input numbers are 897, 338, 93, 110
To find the GCD of numbers using factoring list out all the divisors of each number
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 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 897, 338, 93, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 338, 93, 110 is 1.
Therefore, GCD of numbers 897, 338, 93, 110 is 1
Given Input Data is 897, 338, 93, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 93 is 3 x 31
Prime Factorization of 110 is 2 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(897, 338) = 23322
GCD(897, 338) = ( 897 x 338 ) / 23322
GCD(897, 338) = 303186 / 23322
GCD(897, 338) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 93) = 1209
GCD(13, 93) = ( 13 x 93 ) / 1209
GCD(13, 93) = 1209 / 1209
GCD(13, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 897, 338, 93, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 338, 93, 110?
GCD of 897, 338, 93, 110 is 1
2. Where do I get the detailed procedure to find GCD of 897, 338, 93, 110?
You can find a detailed procedure to find GCD of 897, 338, 93, 110 on our page.
3. How to find GCD of 897, 338, 93, 110 on a calculator?
You can find the GCD of 897, 338, 93, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.