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 14, 660, 939, 546 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 660, 939, 546 is 1
GCD(14, 660, 939, 546) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 660, 939, 546 is 1
GCD(14, 660, 939, 546) = 1
Given Input numbers are 14, 660, 939, 546
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
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 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Greatest Common Divisior
We found the divisors of 14, 660, 939, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 660, 939, 546 is 1.
Therefore, GCD of numbers 14, 660, 939, 546 is 1
Given Input Data is 14, 660, 939, 546
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 939 is 3 x 313
Prime Factorization of 546 is 2 x 3 x 7 x 13
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(14, 660) = 4620
GCD(14, 660) = ( 14 x 660 ) / 4620
GCD(14, 660) = 9240 / 4620
GCD(14, 660) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 939
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 939) = 1878
GCD(2, 939) = ( 2 x 939 ) / 1878
GCD(2, 939) = 1878 / 1878
GCD(2, 939) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
GCD of 14, 660, 939, 546 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 660, 939, 546?
GCD of 14, 660, 939, 546 is 1
2. Where do I get the detailed procedure to find GCD of 14, 660, 939, 546?
You can find a detailed procedure to find GCD of 14, 660, 939, 546 on our page.
3. How to find GCD of 14, 660, 939, 546 on a calculator?
You can find the GCD of 14, 660, 939, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.