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 176, 129, 40, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 129, 40, 699 is 1
GCD(176, 129, 40, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 129, 40, 699 is 1
GCD(176, 129, 40, 699) = 1
Given Input numbers are 176, 129, 40, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 176, 129, 40, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 129, 40, 699 is 1.
Therefore, GCD of numbers 176, 129, 40, 699 is 1
Given Input Data is 176, 129, 40, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 129 is 3 x 43
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 699 is 3 x 233
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(176, 129) = 22704
GCD(176, 129) = ( 176 x 129 ) / 22704
GCD(176, 129) = 22704 / 22704
GCD(176, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 176, 129, 40, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 129, 40, 699?
GCD of 176, 129, 40, 699 is 1
2. Where do I get the detailed procedure to find GCD of 176, 129, 40, 699?
You can find a detailed procedure to find GCD of 176, 129, 40, 699 on our page.
3. How to find GCD of 176, 129, 40, 699 on a calculator?
You can find the GCD of 176, 129, 40, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.