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, 231, 29, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 231, 29, 356 is 1
GCD(699, 231, 29, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 231, 29, 356 is 1
GCD(699, 231, 29, 356) = 1
Given Input numbers are 699, 231, 29, 356
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 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 699, 231, 29, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 231, 29, 356 is 1.
Therefore, GCD of numbers 699, 231, 29, 356 is 1
Given Input Data is 699, 231, 29, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 29 is 29
Prime Factorization of 356 is 2 x 2 x 89
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, 231) = 53823
GCD(699, 231) = ( 699 x 231 ) / 53823
GCD(699, 231) = 161469 / 53823
GCD(699, 231) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 29) = 87
GCD(3, 29) = ( 3 x 29 ) / 87
GCD(3, 29) = 87 / 87
GCD(3, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 699, 231, 29, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 231, 29, 356?
GCD of 699, 231, 29, 356 is 1
2. Where do I get the detailed procedure to find GCD of 699, 231, 29, 356?
You can find a detailed procedure to find GCD of 699, 231, 29, 356 on our page.
3. How to find GCD of 699, 231, 29, 356 on a calculator?
You can find the GCD of 699, 231, 29, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.