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, 921, 88, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 921, 88, 484 is 1
GCD(353, 921, 88, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 921, 88, 484 is 1
GCD(353, 921, 88, 484) = 1
Given Input numbers are 353, 921, 88, 484
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 353, 921, 88, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 921, 88, 484 is 1.
Therefore, GCD of numbers 353, 921, 88, 484 is 1
Given Input Data is 353, 921, 88, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 921 is 3 x 307
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 484 is 2 x 2 x 11 x 11
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, 921) = 325113
GCD(353, 921) = ( 353 x 921 ) / 325113
GCD(353, 921) = 325113 / 325113
GCD(353, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 353, 921, 88, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 921, 88, 484?
GCD of 353, 921, 88, 484 is 1
2. Where do I get the detailed procedure to find GCD of 353, 921, 88, 484?
You can find a detailed procedure to find GCD of 353, 921, 88, 484 on our page.
3. How to find GCD of 353, 921, 88, 484 on a calculator?
You can find the GCD of 353, 921, 88, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.