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 355, 133, 392, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 133, 392, 245 is 1
GCD(355, 133, 392, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 133, 392, 245 is 1
GCD(355, 133, 392, 245) = 1
Given Input numbers are 355, 133, 392, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 355, 133, 392, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 133, 392, 245 is 1.
Therefore, GCD of numbers 355, 133, 392, 245 is 1
Given Input Data is 355, 133, 392, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 133 is 7 x 19
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 245 is 5 x 7 x 7
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(355, 133) = 47215
GCD(355, 133) = ( 355 x 133 ) / 47215
GCD(355, 133) = 47215 / 47215
GCD(355, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 355, 133, 392, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 133, 392, 245?
GCD of 355, 133, 392, 245 is 1
2. Where do I get the detailed procedure to find GCD of 355, 133, 392, 245?
You can find a detailed procedure to find GCD of 355, 133, 392, 245 on our page.
3. How to find GCD of 355, 133, 392, 245 on a calculator?
You can find the GCD of 355, 133, 392, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.