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 10, 543, 580, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 543, 580, 368 is 1
GCD(10, 543, 580, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 543, 580, 368 is 1
GCD(10, 543, 580, 368) = 1
Given Input numbers are 10, 543, 580, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 10, 543, 580, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 543, 580, 368 is 1.
Therefore, GCD of numbers 10, 543, 580, 368 is 1
Given Input Data is 10, 543, 580, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 543 is 3 x 181
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(10, 543) = 5430
GCD(10, 543) = ( 10 x 543 ) / 5430
GCD(10, 543) = 5430 / 5430
GCD(10, 543) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 10, 543, 580, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 543, 580, 368?
GCD of 10, 543, 580, 368 is 1
2. Where do I get the detailed procedure to find GCD of 10, 543, 580, 368?
You can find a detailed procedure to find GCD of 10, 543, 580, 368 on our page.
3. How to find GCD of 10, 543, 580, 368 on a calculator?
You can find the GCD of 10, 543, 580, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.