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 286, 210, 89, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 210, 89, 682 is 1
GCD(286, 210, 89, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 210, 89, 682 is 1
GCD(286, 210, 89, 682) = 1
Given Input numbers are 286, 210, 89, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 286, 210, 89, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 210, 89, 682 is 1.
Therefore, GCD of numbers 286, 210, 89, 682 is 1
Given Input Data is 286, 210, 89, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 89 is 89
Prime Factorization of 682 is 2 x 11 x 31
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(286, 210) = 30030
GCD(286, 210) = ( 286 x 210 ) / 30030
GCD(286, 210) = 60060 / 30030
GCD(286, 210) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 286, 210, 89, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 286, 210, 89, 682?
GCD of 286, 210, 89, 682 is 1
2. Where do I get the detailed procedure to find GCD of 286, 210, 89, 682?
You can find a detailed procedure to find GCD of 286, 210, 89, 682 on our page.
3. How to find GCD of 286, 210, 89, 682 on a calculator?
You can find the GCD of 286, 210, 89, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.