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 543, 365, 470, 380 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 365, 470, 380 is 1
GCD(543, 365, 470, 380) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 365, 470, 380 is 1
GCD(543, 365, 470, 380) = 1
Given Input numbers are 543, 365, 470, 380
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
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 543, 365, 470, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 365, 470, 380 is 1.
Therefore, GCD of numbers 543, 365, 470, 380 is 1
Given Input Data is 543, 365, 470, 380
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 365 is 5 x 73
Prime Factorization of 470 is 2 x 5 x 47
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(543, 365) = 198195
GCD(543, 365) = ( 543 x 365 ) / 198195
GCD(543, 365) = 198195 / 198195
GCD(543, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 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 543, 365, 470, 380 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 365, 470, 380?
GCD of 543, 365, 470, 380 is 1
2. Where do I get the detailed procedure to find GCD of 543, 365, 470, 380?
You can find a detailed procedure to find GCD of 543, 365, 470, 380 on our page.
3. How to find GCD of 543, 365, 470, 380 on a calculator?
You can find the GCD of 543, 365, 470, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.