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 353, 380, 121, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 380, 121, 721 is 1
GCD(353, 380, 121, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 380, 121, 721 is 1
GCD(353, 380, 121, 721) = 1
Given Input numbers are 353, 380, 121, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 353, 380, 121, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 380, 121, 721 is 1.
Therefore, GCD of numbers 353, 380, 121, 721 is 1
Given Input Data is 353, 380, 121, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 121 is 11 x 11
Prime Factorization of 721 is 7 x 103
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(353, 380) = 134140
GCD(353, 380) = ( 353 x 380 ) / 134140
GCD(353, 380) = 134140 / 134140
GCD(353, 380) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 353, 380, 121, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 380, 121, 721?
GCD of 353, 380, 121, 721 is 1
2. Where do I get the detailed procedure to find GCD of 353, 380, 121, 721?
You can find a detailed procedure to find GCD of 353, 380, 121, 721 on our page.
3. How to find GCD of 353, 380, 121, 721 on a calculator?
You can find the GCD of 353, 380, 121, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.