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 814, 602, 599, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 602, 599, 245 is 1
GCD(814, 602, 599, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 602, 599, 245 is 1
GCD(814, 602, 599, 245) = 1
Given Input numbers are 814, 602, 599, 245
To find the GCD of numbers using factoring list out all the divisors of each number
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 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 814, 602, 599, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 602, 599, 245 is 1.
Therefore, GCD of numbers 814, 602, 599, 245 is 1
Given Input Data is 814, 602, 599, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 599 is 599
Prime Factorization of 245 is 5 x 7 x 7
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(814, 602) = 245014
GCD(814, 602) = ( 814 x 602 ) / 245014
GCD(814, 602) = 490028 / 245014
GCD(814, 602) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 814, 602, 599, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 602, 599, 245?
GCD of 814, 602, 599, 245 is 1
2. Where do I get the detailed procedure to find GCD of 814, 602, 599, 245?
You can find a detailed procedure to find GCD of 814, 602, 599, 245 on our page.
3. How to find GCD of 814, 602, 599, 245 on a calculator?
You can find the GCD of 814, 602, 599, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.