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 240, 849, 666, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 849, 666, 826 is 1
GCD(240, 849, 666, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 849, 666, 826 is 1
GCD(240, 849, 666, 826) = 1
Given Input numbers are 240, 849, 666, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 240, 849, 666, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 849, 666, 826 is 1.
Therefore, GCD of numbers 240, 849, 666, 826 is 1
Given Input Data is 240, 849, 666, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 849 is 3 x 283
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 826 is 2 x 7 x 59
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(240, 849) = 67920
GCD(240, 849) = ( 240 x 849 ) / 67920
GCD(240, 849) = 203760 / 67920
GCD(240, 849) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 666) = 666
GCD(3, 666) = ( 3 x 666 ) / 666
GCD(3, 666) = 1998 / 666
GCD(3, 666) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 826) = 2478
GCD(3, 826) = ( 3 x 826 ) / 2478
GCD(3, 826) = 2478 / 2478
GCD(3, 826) = 1
GCD of 240, 849, 666, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 849, 666, 826?
GCD of 240, 849, 666, 826 is 1
2. Where do I get the detailed procedure to find GCD of 240, 849, 666, 826?
You can find a detailed procedure to find GCD of 240, 849, 666, 826 on our page.
3. How to find GCD of 240, 849, 666, 826 on a calculator?
You can find the GCD of 240, 849, 666, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.