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, 391, 15, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 391, 15, 965 is 1
GCD(543, 391, 15, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 391, 15, 965 is 1
GCD(543, 391, 15, 965) = 1
Given Input numbers are 543, 391, 15, 965
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 543, 391, 15, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 391, 15, 965 is 1.
Therefore, GCD of numbers 543, 391, 15, 965 is 1
Given Input Data is 543, 391, 15, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 391 is 17 x 23
Prime Factorization of 15 is 3 x 5
Prime Factorization of 965 is 5 x 193
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, 391) = 212313
GCD(543, 391) = ( 543 x 391 ) / 212313
GCD(543, 391) = 212313 / 212313
GCD(543, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 543, 391, 15, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 391, 15, 965?
GCD of 543, 391, 15, 965 is 1
2. Where do I get the detailed procedure to find GCD of 543, 391, 15, 965?
You can find a detailed procedure to find GCD of 543, 391, 15, 965 on our page.
3. How to find GCD of 543, 391, 15, 965 on a calculator?
You can find the GCD of 543, 391, 15, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.