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 709, 485, 279, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 485, 279, 198 is 1
GCD(709, 485, 279, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 485, 279, 198 is 1
GCD(709, 485, 279, 198) = 1
Given Input numbers are 709, 485, 279, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 709, 485, 279, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 485, 279, 198 is 1.
Therefore, GCD of numbers 709, 485, 279, 198 is 1
Given Input Data is 709, 485, 279, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 485 is 5 x 97
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(709, 485) = 343865
GCD(709, 485) = ( 709 x 485 ) / 343865
GCD(709, 485) = 343865 / 343865
GCD(709, 485) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 709, 485, 279, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 485, 279, 198?
GCD of 709, 485, 279, 198 is 1
2. Where do I get the detailed procedure to find GCD of 709, 485, 279, 198?
You can find a detailed procedure to find GCD of 709, 485, 279, 198 on our page.
3. How to find GCD of 709, 485, 279, 198 on a calculator?
You can find the GCD of 709, 485, 279, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.