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 245, 115, 84, 838 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 115, 84, 838 is 1
GCD(245, 115, 84, 838) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 115, 84, 838 is 1
GCD(245, 115, 84, 838) = 1
Given Input numbers are 245, 115, 84, 838
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Greatest Common Divisior
We found the divisors of 245, 115, 84, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 115, 84, 838 is 1.
Therefore, GCD of numbers 245, 115, 84, 838 is 1
Given Input Data is 245, 115, 84, 838
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 115 is 5 x 23
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 838 is 2 x 419
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(245, 115) = 5635
GCD(245, 115) = ( 245 x 115 ) / 5635
GCD(245, 115) = 28175 / 5635
GCD(245, 115) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 84) = 420
GCD(5, 84) = ( 5 x 84 ) / 420
GCD(5, 84) = 420 / 420
GCD(5, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
GCD of 245, 115, 84, 838 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 115, 84, 838?
GCD of 245, 115, 84, 838 is 1
2. Where do I get the detailed procedure to find GCD of 245, 115, 84, 838?
You can find a detailed procedure to find GCD of 245, 115, 84, 838 on our page.
3. How to find GCD of 245, 115, 84, 838 on a calculator?
You can find the GCD of 245, 115, 84, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.