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 699, 428, 211, 199 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 428, 211, 199 is 1
GCD(699, 428, 211, 199) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 428, 211, 199 is 1
GCD(699, 428, 211, 199) = 1
Given Input numbers are 699, 428, 211, 199
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 199
List of positive integer divisors of 199 that divides 199 without a remainder.
1, 199
Greatest Common Divisior
We found the divisors of 699, 428, 211, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 428, 211, 199 is 1.
Therefore, GCD of numbers 699, 428, 211, 199 is 1
Given Input Data is 699, 428, 211, 199
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 211 is 211
Prime Factorization of 199 is 199
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(699, 428) = 299172
GCD(699, 428) = ( 699 x 428 ) / 299172
GCD(699, 428) = 299172 / 299172
GCD(699, 428) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 199
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
GCD(1, 199) = 199 / 199
GCD(1, 199) = 1
GCD of 699, 428, 211, 199 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 428, 211, 199?
GCD of 699, 428, 211, 199 is 1
2. Where do I get the detailed procedure to find GCD of 699, 428, 211, 199?
You can find a detailed procedure to find GCD of 699, 428, 211, 199 on our page.
3. How to find GCD of 699, 428, 211, 199 on a calculator?
You can find the GCD of 699, 428, 211, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.