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 404, 358, 37, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 404, 358, 37, 778 is 1
GCD(404, 358, 37, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 358, 37, 778 is 1
GCD(404, 358, 37, 778) = 1
Given Input numbers are 404, 358, 37, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 404, 358, 37, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 358, 37, 778 is 1.
Therefore, GCD of numbers 404, 358, 37, 778 is 1
Given Input Data is 404, 358, 37, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 358 is 2 x 179
Prime Factorization of 37 is 37
Prime Factorization of 778 is 2 x 389
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(404, 358) = 72316
GCD(404, 358) = ( 404 x 358 ) / 72316
GCD(404, 358) = 144632 / 72316
GCD(404, 358) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 404, 358, 37, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 358, 37, 778?
GCD of 404, 358, 37, 778 is 1
2. Where do I get the detailed procedure to find GCD of 404, 358, 37, 778?
You can find a detailed procedure to find GCD of 404, 358, 37, 778 on our page.
3. How to find GCD of 404, 358, 37, 778 on a calculator?
You can find the GCD of 404, 358, 37, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.