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 511, 338, 45, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 338, 45, 913 is 1
GCD(511, 338, 45, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 338, 45, 913 is 1
GCD(511, 338, 45, 913) = 1
Given Input numbers are 511, 338, 45, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 511, 338, 45, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 338, 45, 913 is 1.
Therefore, GCD of numbers 511, 338, 45, 913 is 1
Given Input Data is 511, 338, 45, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 913 is 11 x 83
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(511, 338) = 172718
GCD(511, 338) = ( 511 x 338 ) / 172718
GCD(511, 338) = 172718 / 172718
GCD(511, 338) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 511, 338, 45, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 338, 45, 913?
GCD of 511, 338, 45, 913 is 1
2. Where do I get the detailed procedure to find GCD of 511, 338, 45, 913?
You can find a detailed procedure to find GCD of 511, 338, 45, 913 on our page.
3. How to find GCD of 511, 338, 45, 913 on a calculator?
You can find the GCD of 511, 338, 45, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.