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 416, 721, 60, 129 i.e. 1 largest integer that divides all the numbers equally.
GCD of 416, 721, 60, 129 is 1
GCD(416, 721, 60, 129) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 721, 60, 129 is 1
GCD(416, 721, 60, 129) = 1
Given Input numbers are 416, 721, 60, 129
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Greatest Common Divisior
We found the divisors of 416, 721, 60, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 721, 60, 129 is 1.
Therefore, GCD of numbers 416, 721, 60, 129 is 1
Given Input Data is 416, 721, 60, 129
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 721 is 7 x 103
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 129 is 3 x 43
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(416, 721) = 299936
GCD(416, 721) = ( 416 x 721 ) / 299936
GCD(416, 721) = 299936 / 299936
GCD(416, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 129
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
GCD(1, 129) = 129 / 129
GCD(1, 129) = 1
GCD of 416, 721, 60, 129 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 721, 60, 129?
GCD of 416, 721, 60, 129 is 1
2. Where do I get the detailed procedure to find GCD of 416, 721, 60, 129?
You can find a detailed procedure to find GCD of 416, 721, 60, 129 on our page.
3. How to find GCD of 416, 721, 60, 129 on a calculator?
You can find the GCD of 416, 721, 60, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.