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, 212, 57, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 212, 57, 385 is 1
GCD(353, 212, 57, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 212, 57, 385 is 1
GCD(353, 212, 57, 385) = 1
Given Input numbers are 353, 212, 57, 385
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 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 353, 212, 57, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 212, 57, 385 is 1.
Therefore, GCD of numbers 353, 212, 57, 385 is 1
Given Input Data is 353, 212, 57, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 57 is 3 x 19
Prime Factorization of 385 is 5 x 7 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, 212) = 74836
GCD(353, 212) = ( 353 x 212 ) / 74836
GCD(353, 212) = 74836 / 74836
GCD(353, 212) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 353, 212, 57, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 212, 57, 385?
GCD of 353, 212, 57, 385 is 1
2. Where do I get the detailed procedure to find GCD of 353, 212, 57, 385?
You can find a detailed procedure to find GCD of 353, 212, 57, 385 on our page.
3. How to find GCD of 353, 212, 57, 385 on a calculator?
You can find the GCD of 353, 212, 57, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.