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 242, 697, 985, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 697, 985, 857 is 1
GCD(242, 697, 985, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 697, 985, 857 is 1
GCD(242, 697, 985, 857) = 1
Given Input numbers are 242, 697, 985, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 242, 697, 985, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 697, 985, 857 is 1.
Therefore, GCD of numbers 242, 697, 985, 857 is 1
Given Input Data is 242, 697, 985, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 697 is 17 x 41
Prime Factorization of 985 is 5 x 197
Prime Factorization of 857 is 857
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(242, 697) = 168674
GCD(242, 697) = ( 242 x 697 ) / 168674
GCD(242, 697) = 168674 / 168674
GCD(242, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 242, 697, 985, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 697, 985, 857?
GCD of 242, 697, 985, 857 is 1
2. Where do I get the detailed procedure to find GCD of 242, 697, 985, 857?
You can find a detailed procedure to find GCD of 242, 697, 985, 857 on our page.
3. How to find GCD of 242, 697, 985, 857 on a calculator?
You can find the GCD of 242, 697, 985, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.