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 518, 549, 435, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 549, 435, 380 is 1
GCD(518, 549, 435, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 549, 435, 380 is 1
GCD(518, 549, 435, 380) = 1
Given Input numbers are 518, 549, 435, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
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 518, 549, 435, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 549, 435, 380 is 1.
Therefore, GCD of numbers 518, 549, 435, 380 is 1
Given Input Data is 518, 549, 435, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 380 is 2 x 2 x 5 x 19
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(518, 549) = 284382
GCD(518, 549) = ( 518 x 549 ) / 284382
GCD(518, 549) = 284382 / 284382
GCD(518, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 380
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 380) = 380
GCD(1, 380) = ( 1 x 380 ) / 380
GCD(1, 380) = 380 / 380
GCD(1, 380) = 1
GCD of 518, 549, 435, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 549, 435, 380?
GCD of 518, 549, 435, 380 is 1
2. Where do I get the detailed procedure to find GCD of 518, 549, 435, 380?
You can find a detailed procedure to find GCD of 518, 549, 435, 380 on our page.
3. How to find GCD of 518, 549, 435, 380 on a calculator?
You can find the GCD of 518, 549, 435, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.