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 621, 660, 15, 621 i.e. 3 largest integer that divides all the numbers equally.
GCD of 621, 660, 15, 621 is 3
GCD(621, 660, 15, 621) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 621, 660, 15, 621 is 3
GCD(621, 660, 15, 621) = 3
Given Input numbers are 621, 660, 15, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 621, 660, 15, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 660, 15, 621 is 3.
Therefore, GCD of numbers 621, 660, 15, 621 is 3
Given Input Data is 621, 660, 15, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 15 is 3 x 5
Prime Factorization of 621 is 3 x 3 x 3 x 23
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(621, 660) = 136620
GCD(621, 660) = ( 621 x 660 ) / 136620
GCD(621, 660) = 409860 / 136620
GCD(621, 660) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
GCD(3, 621) = 1863 / 621
GCD(3, 621) = 3
GCD of 621, 660, 15, 621 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 621, 660, 15, 621?
GCD of 621, 660, 15, 621 is 3
2. Where do I get the detailed procedure to find GCD of 621, 660, 15, 621?
You can find a detailed procedure to find GCD of 621, 660, 15, 621 on our page.
3. How to find GCD of 621, 660, 15, 621 on a calculator?
You can find the GCD of 621, 660, 15, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.