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, 814, 842, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 814, 842, 655 is 1
GCD(245, 814, 842, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 814, 842, 655 is 1
GCD(245, 814, 842, 655) = 1
Given Input numbers are 245, 814, 842, 655
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 245, 814, 842, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 814, 842, 655 is 1.
Therefore, GCD of numbers 245, 814, 842, 655 is 1
Given Input Data is 245, 814, 842, 655
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 814 is 2 x 11 x 37
Prime Factorization of 842 is 2 x 421
Prime Factorization of 655 is 5 x 131
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, 814) = 199430
GCD(245, 814) = ( 245 x 814 ) / 199430
GCD(245, 814) = 199430 / 199430
GCD(245, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 245, 814, 842, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 814, 842, 655?
GCD of 245, 814, 842, 655 is 1
2. Where do I get the detailed procedure to find GCD of 245, 814, 842, 655?
You can find a detailed procedure to find GCD of 245, 814, 842, 655 on our page.
3. How to find GCD of 245, 814, 842, 655 on a calculator?
You can find the GCD of 245, 814, 842, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.