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, 515, 18, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 515, 18, 766 is 1
GCD(355, 515, 18, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 515, 18, 766 is 1
GCD(355, 515, 18, 766) = 1
Given Input numbers are 355, 515, 18, 766
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 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 355, 515, 18, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 515, 18, 766 is 1.
Therefore, GCD of numbers 355, 515, 18, 766 is 1
Given Input Data is 355, 515, 18, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 515 is 5 x 103
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 766 is 2 x 383
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, 515) = 36565
GCD(355, 515) = ( 355 x 515 ) / 36565
GCD(355, 515) = 182825 / 36565
GCD(355, 515) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 18) = 90
GCD(5, 18) = ( 5 x 18 ) / 90
GCD(5, 18) = 90 / 90
GCD(5, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 355, 515, 18, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 515, 18, 766?
GCD of 355, 515, 18, 766 is 1
2. Where do I get the detailed procedure to find GCD of 355, 515, 18, 766?
You can find a detailed procedure to find GCD of 355, 515, 18, 766 on our page.
3. How to find GCD of 355, 515, 18, 766 on a calculator?
You can find the GCD of 355, 515, 18, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.