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 848, 109, 897, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 109, 897, 381 is 1
GCD(848, 109, 897, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 109, 897, 381 is 1
GCD(848, 109, 897, 381) = 1
Given Input numbers are 848, 109, 897, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 848, 109, 897, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 109, 897, 381 is 1.
Therefore, GCD of numbers 848, 109, 897, 381 is 1
Given Input Data is 848, 109, 897, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 109 is 109
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 381 is 3 x 127
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(848, 109) = 92432
GCD(848, 109) = ( 848 x 109 ) / 92432
GCD(848, 109) = 92432 / 92432
GCD(848, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
GCD(1, 897) = 897 / 897
GCD(1, 897) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 848, 109, 897, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 109, 897, 381?
GCD of 848, 109, 897, 381 is 1
2. Where do I get the detailed procedure to find GCD of 848, 109, 897, 381?
You can find a detailed procedure to find GCD of 848, 109, 897, 381 on our page.
3. How to find GCD of 848, 109, 897, 381 on a calculator?
You can find the GCD of 848, 109, 897, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.