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 715, 143, 770, 866 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 143, 770, 866 is 1
GCD(715, 143, 770, 866) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 143, 770, 866 is 1
GCD(715, 143, 770, 866) = 1
Given Input numbers are 715, 143, 770, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 715, 143, 770, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 143, 770, 866 is 1.
Therefore, GCD of numbers 715, 143, 770, 866 is 1
Given Input Data is 715, 143, 770, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 143 is 11 x 13
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 866 is 2 x 433
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(715, 143) = 715
GCD(715, 143) = ( 715 x 143 ) / 715
GCD(715, 143) = 102245 / 715
GCD(715, 143) = 143
Step2:
Here we consider the GCD from the above i.e. 143 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(143, 770) = 10010
GCD(143, 770) = ( 143 x 770 ) / 10010
GCD(143, 770) = 110110 / 10010
GCD(143, 770) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 866) = 9526
GCD(11, 866) = ( 11 x 866 ) / 9526
GCD(11, 866) = 9526 / 9526
GCD(11, 866) = 1
GCD of 715, 143, 770, 866 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 143, 770, 866?
GCD of 715, 143, 770, 866 is 1
2. Where do I get the detailed procedure to find GCD of 715, 143, 770, 866?
You can find a detailed procedure to find GCD of 715, 143, 770, 866 on our page.
3. How to find GCD of 715, 143, 770, 866 on a calculator?
You can find the GCD of 715, 143, 770, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.