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 15, 531, 648, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 531, 648, 467 is 1
GCD(15, 531, 648, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 531, 648, 467 is 1
GCD(15, 531, 648, 467) = 1
Given Input numbers are 15, 531, 648, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 15, 531, 648, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 531, 648, 467 is 1.
Therefore, GCD of numbers 15, 531, 648, 467 is 1
Given Input Data is 15, 531, 648, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 467 is 467
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(15, 531) = 2655
GCD(15, 531) = ( 15 x 531 ) / 2655
GCD(15, 531) = 7965 / 2655
GCD(15, 531) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
GCD(3, 648) = 1944 / 648
GCD(3, 648) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 467) = 1401
GCD(3, 467) = ( 3 x 467 ) / 1401
GCD(3, 467) = 1401 / 1401
GCD(3, 467) = 1
GCD of 15, 531, 648, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 531, 648, 467?
GCD of 15, 531, 648, 467 is 1
2. Where do I get the detailed procedure to find GCD of 15, 531, 648, 467?
You can find a detailed procedure to find GCD of 15, 531, 648, 467 on our page.
3. How to find GCD of 15, 531, 648, 467 on a calculator?
You can find the GCD of 15, 531, 648, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.