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, 274, 560, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 274, 560, 404 is 1
GCD(355, 274, 560, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 274, 560, 404 is 1
GCD(355, 274, 560, 404) = 1
Given Input numbers are 355, 274, 560, 404
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 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 355, 274, 560, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 274, 560, 404 is 1.
Therefore, GCD of numbers 355, 274, 560, 404 is 1
Given Input Data is 355, 274, 560, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 274 is 2 x 137
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 404 is 2 x 2 x 101
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, 274) = 97270
GCD(355, 274) = ( 355 x 274 ) / 97270
GCD(355, 274) = 97270 / 97270
GCD(355, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 355, 274, 560, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 274, 560, 404?
GCD of 355, 274, 560, 404 is 1
2. Where do I get the detailed procedure to find GCD of 355, 274, 560, 404?
You can find a detailed procedure to find GCD of 355, 274, 560, 404 on our page.
3. How to find GCD of 355, 274, 560, 404 on a calculator?
You can find the GCD of 355, 274, 560, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.