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 539, 660, 490, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 660, 490, 683 is 1
GCD(539, 660, 490, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 660, 490, 683 is 1
GCD(539, 660, 490, 683) = 1
Given Input numbers are 539, 660, 490, 683
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
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 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 539, 660, 490, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 660, 490, 683 is 1.
Therefore, GCD of numbers 539, 660, 490, 683 is 1
Given Input Data is 539, 660, 490, 683
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 683 is 683
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(539, 660) = 32340
GCD(539, 660) = ( 539 x 660 ) / 32340
GCD(539, 660) = 355740 / 32340
GCD(539, 660) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 490) = 5390
GCD(11, 490) = ( 11 x 490 ) / 5390
GCD(11, 490) = 5390 / 5390
GCD(11, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
GCD of 539, 660, 490, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 660, 490, 683?
GCD of 539, 660, 490, 683 is 1
2. Where do I get the detailed procedure to find GCD of 539, 660, 490, 683?
You can find a detailed procedure to find GCD of 539, 660, 490, 683 on our page.
3. How to find GCD of 539, 660, 490, 683 on a calculator?
You can find the GCD of 539, 660, 490, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.