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, 780, 628 i.e. 4 largest integer that divides all the numbers equally.
GCD of 404, 780, 628 is 4
GCD(404, 780, 628) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 780, 628 is 4
GCD(404, 780, 628) = 4
Given Input numbers are 404, 780, 628
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 404, 780, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 780, 628 is 4.
Therefore, GCD of numbers 404, 780, 628 is 4
Given Input Data is 404, 780, 628
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 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 628 is 2 x 2 x 157
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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, 780) = 78780
GCD(404, 780) = ( 404 x 780 ) / 78780
GCD(404, 780) = 315120 / 78780
GCD(404, 780) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
GCD(4, 628) = 2512 / 628
GCD(4, 628) = 4
GCD of 404, 780, 628 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 780, 628?
GCD of 404, 780, 628 is 4
2. Where do I get the detailed procedure to find GCD of 404, 780, 628?
You can find a detailed procedure to find GCD of 404, 780, 628 on our page.
3. How to find GCD of 404, 780, 628 on a calculator?
You can find the GCD of 404, 780, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.