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 860, 527, 18, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 860, 527, 18, 216 is 1
GCD(860, 527, 18, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 860, 527, 18, 216 is 1
GCD(860, 527, 18, 216) = 1
Given Input numbers are 860, 527, 18, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 860, 527, 18, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 527, 18, 216 is 1.
Therefore, GCD of numbers 860, 527, 18, 216 is 1
Given Input Data is 860, 527, 18, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 527 is 17 x 31
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(860, 527) = 453220
GCD(860, 527) = ( 860 x 527 ) / 453220
GCD(860, 527) = 453220 / 453220
GCD(860, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 860, 527, 18, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 860, 527, 18, 216?
GCD of 860, 527, 18, 216 is 1
2. Where do I get the detailed procedure to find GCD of 860, 527, 18, 216?
You can find a detailed procedure to find GCD of 860, 527, 18, 216 on our page.
3. How to find GCD of 860, 527, 18, 216 on a calculator?
You can find the GCD of 860, 527, 18, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.