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, 404, 363, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 404, 363, 751 is 1
GCD(918, 404, 363, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 404, 363, 751 is 1
GCD(918, 404, 363, 751) = 1
Given Input numbers are 918, 404, 363, 751
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 918, 404, 363, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 404, 363, 751 is 1.
Therefore, GCD of numbers 918, 404, 363, 751 is 1
Given Input Data is 918, 404, 363, 751
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 404 is 2 x 2 x 101
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 751 is 751
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, 404) = 185436
GCD(918, 404) = ( 918 x 404 ) / 185436
GCD(918, 404) = 370872 / 185436
GCD(918, 404) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
GCD(2, 363) = 726 / 726
GCD(2, 363) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
GCD of 918, 404, 363, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 404, 363, 751?
GCD of 918, 404, 363, 751 is 1
2. Where do I get the detailed procedure to find GCD of 918, 404, 363, 751?
You can find a detailed procedure to find GCD of 918, 404, 363, 751 on our page.
3. How to find GCD of 918, 404, 363, 751 on a calculator?
You can find the GCD of 918, 404, 363, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.