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 322, 777, 849, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 777, 849, 245 is 1
GCD(322, 777, 849, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 777, 849, 245 is 1
GCD(322, 777, 849, 245) = 1
Given Input numbers are 322, 777, 849, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
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 322, 777, 849, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 777, 849, 245 is 1.
Therefore, GCD of numbers 322, 777, 849, 245 is 1
Given Input Data is 322, 777, 849, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 849 is 3 x 283
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(322, 777) = 35742
GCD(322, 777) = ( 322 x 777 ) / 35742
GCD(322, 777) = 250194 / 35742
GCD(322, 777) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 849) = 5943
GCD(7, 849) = ( 7 x 849 ) / 5943
GCD(7, 849) = 5943 / 5943
GCD(7, 849) = 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 322, 777, 849, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 777, 849, 245?
GCD of 322, 777, 849, 245 is 1
2. Where do I get the detailed procedure to find GCD of 322, 777, 849, 245?
You can find a detailed procedure to find GCD of 322, 777, 849, 245 on our page.
3. How to find GCD of 322, 777, 849, 245 on a calculator?
You can find the GCD of 322, 777, 849, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.