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 636, 225, 295, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 636, 225, 295, 214 is 1
GCD(636, 225, 295, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 636, 225, 295, 214 is 1
GCD(636, 225, 295, 214) = 1
Given Input numbers are 636, 225, 295, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 636, 225, 295, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 225, 295, 214 is 1.
Therefore, GCD of numbers 636, 225, 295, 214 is 1
Given Input Data is 636, 225, 295, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 295 is 5 x 59
Prime Factorization of 214 is 2 x 107
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(636, 225) = 47700
GCD(636, 225) = ( 636 x 225 ) / 47700
GCD(636, 225) = 143100 / 47700
GCD(636, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 295) = 885
GCD(3, 295) = ( 3 x 295 ) / 885
GCD(3, 295) = 885 / 885
GCD(3, 295) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 636, 225, 295, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 636, 225, 295, 214?
GCD of 636, 225, 295, 214 is 1
2. Where do I get the detailed procedure to find GCD of 636, 225, 295, 214?
You can find a detailed procedure to find GCD of 636, 225, 295, 214 on our page.
3. How to find GCD of 636, 225, 295, 214 on a calculator?
You can find the GCD of 636, 225, 295, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.