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 369, 538, 110, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 538, 110, 643 is 1
GCD(369, 538, 110, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 538, 110, 643 is 1
GCD(369, 538, 110, 643) = 1
Given Input numbers are 369, 538, 110, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 369, 538, 110, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 538, 110, 643 is 1.
Therefore, GCD of numbers 369, 538, 110, 643 is 1
Given Input Data is 369, 538, 110, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 538 is 2 x 269
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 643 is 643
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(369, 538) = 198522
GCD(369, 538) = ( 369 x 538 ) / 198522
GCD(369, 538) = 198522 / 198522
GCD(369, 538) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 369, 538, 110, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 538, 110, 643?
GCD of 369, 538, 110, 643 is 1
2. Where do I get the detailed procedure to find GCD of 369, 538, 110, 643?
You can find a detailed procedure to find GCD of 369, 538, 110, 643 on our page.
3. How to find GCD of 369, 538, 110, 643 on a calculator?
You can find the GCD of 369, 538, 110, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.