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 918, 497, 404, 453 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 497, 404, 453 is 1
GCD(918, 497, 404, 453) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 497, 404, 453 is 1
GCD(918, 497, 404, 453) = 1
Given Input numbers are 918, 497, 404, 453
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Greatest Common Divisior
We found the divisors of 918, 497, 404, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 497, 404, 453 is 1.
Therefore, GCD of numbers 918, 497, 404, 453 is 1
Given Input Data is 918, 497, 404, 453
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 497 is 7 x 71
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 453 is 3 x 151
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(918, 497) = 456246
GCD(918, 497) = ( 918 x 497 ) / 456246
GCD(918, 497) = 456246 / 456246
GCD(918, 497) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
GCD of 918, 497, 404, 453 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 497, 404, 453?
GCD of 918, 497, 404, 453 is 1
2. Where do I get the detailed procedure to find GCD of 918, 497, 404, 453?
You can find a detailed procedure to find GCD of 918, 497, 404, 453 on our page.
3. How to find GCD of 918, 497, 404, 453 on a calculator?
You can find the GCD of 918, 497, 404, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.