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, 556, 67, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 556, 67, 440 is 1
GCD(353, 556, 67, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 556, 67, 440 is 1
GCD(353, 556, 67, 440) = 1
Given Input numbers are 353, 556, 67, 440
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 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 353, 556, 67, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 556, 67, 440 is 1.
Therefore, GCD of numbers 353, 556, 67, 440 is 1
Given Input Data is 353, 556, 67, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 67 is 67
Prime Factorization of 440 is 2 x 2 x 2 x 5 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, 556) = 196268
GCD(353, 556) = ( 353 x 556 ) / 196268
GCD(353, 556) = 196268 / 196268
GCD(353, 556) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 353, 556, 67, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 556, 67, 440?
GCD of 353, 556, 67, 440 is 1
2. Where do I get the detailed procedure to find GCD of 353, 556, 67, 440?
You can find a detailed procedure to find GCD of 353, 556, 67, 440 on our page.
3. How to find GCD of 353, 556, 67, 440 on a calculator?
You can find the GCD of 353, 556, 67, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.