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 520, 428, 380 i.e. 4 largest integer that divides all the numbers equally.
GCD of 520, 428, 380 is 4
GCD(520, 428, 380) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 428, 380 is 4
GCD(520, 428, 380) = 4
Given Input numbers are 520, 428, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Greatest Common Divisior
We found the divisors of 520, 428, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 428, 380 is 4.
Therefore, GCD of numbers 520, 428, 380 is 4
Given Input Data is 520, 428, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(520, 428) = 55640
GCD(520, 428) = ( 520 x 428 ) / 55640
GCD(520, 428) = 222560 / 55640
GCD(520, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 380) = 380
GCD(4, 380) = ( 4 x 380 ) / 380
GCD(4, 380) = 1520 / 380
GCD(4, 380) = 4
GCD of 520, 428, 380 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 428, 380?
GCD of 520, 428, 380 is 4
2. Where do I get the detailed procedure to find GCD of 520, 428, 380?
You can find a detailed procedure to find GCD of 520, 428, 380 on our page.
3. How to find GCD of 520, 428, 380 on a calculator?
You can find the GCD of 520, 428, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.