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 660, 685, 41, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 685, 41, 706 is 1
GCD(660, 685, 41, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 685, 41, 706 is 1
GCD(660, 685, 41, 706) = 1
Given Input numbers are 660, 685, 41, 706
To find the GCD of numbers using factoring list out all the divisors of each number
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 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 660, 685, 41, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 685, 41, 706 is 1.
Therefore, GCD of numbers 660, 685, 41, 706 is 1
Given Input Data is 660, 685, 41, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 685 is 5 x 137
Prime Factorization of 41 is 41
Prime Factorization of 706 is 2 x 353
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(660, 685) = 90420
GCD(660, 685) = ( 660 x 685 ) / 90420
GCD(660, 685) = 452100 / 90420
GCD(660, 685) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 41) = 205
GCD(5, 41) = ( 5 x 41 ) / 205
GCD(5, 41) = 205 / 205
GCD(5, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 660, 685, 41, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 685, 41, 706?
GCD of 660, 685, 41, 706 is 1
2. Where do I get the detailed procedure to find GCD of 660, 685, 41, 706?
You can find a detailed procedure to find GCD of 660, 685, 41, 706 on our page.
3. How to find GCD of 660, 685, 41, 706 on a calculator?
You can find the GCD of 660, 685, 41, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.