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 918, 950, 216, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 950, 216, 201 is 1
GCD(918, 950, 216, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 950, 216, 201 is 1
GCD(918, 950, 216, 201) = 1
Given Input numbers are 918, 950, 216, 201
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 918, 950, 216, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 950, 216, 201 is 1.
Therefore, GCD of numbers 918, 950, 216, 201 is 1
Given Input Data is 918, 950, 216, 201
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 201 is 3 x 67
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(918, 950) = 436050
GCD(918, 950) = ( 918 x 950 ) / 436050
GCD(918, 950) = 872100 / 436050
GCD(918, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
GCD(2, 216) = 432 / 216
GCD(2, 216) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
GCD of 918, 950, 216, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 950, 216, 201?
GCD of 918, 950, 216, 201 is 1
2. Where do I get the detailed procedure to find GCD of 918, 950, 216, 201?
You can find a detailed procedure to find GCD of 918, 950, 216, 201 on our page.
3. How to find GCD of 918, 950, 216, 201 on a calculator?
You can find the GCD of 918, 950, 216, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.