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 210, 225, 153, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 225, 153, 385 is 1
GCD(210, 225, 153, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 225, 153, 385 is 1
GCD(210, 225, 153, 385) = 1
Given Input numbers are 210, 225, 153, 385
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 210, 225, 153, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 225, 153, 385 is 1.
Therefore, GCD of numbers 210, 225, 153, 385 is 1
Given Input Data is 210, 225, 153, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 385 is 5 x 7 x 11
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(210, 225) = 3150
GCD(210, 225) = ( 210 x 225 ) / 3150
GCD(210, 225) = 47250 / 3150
GCD(210, 225) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 153) = 765
GCD(15, 153) = ( 15 x 153 ) / 765
GCD(15, 153) = 2295 / 765
GCD(15, 153) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 385) = 1155
GCD(3, 385) = ( 3 x 385 ) / 1155
GCD(3, 385) = 1155 / 1155
GCD(3, 385) = 1
GCD of 210, 225, 153, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 225, 153, 385?
GCD of 210, 225, 153, 385 is 1
2. Where do I get the detailed procedure to find GCD of 210, 225, 153, 385?
You can find a detailed procedure to find GCD of 210, 225, 153, 385 on our page.
3. How to find GCD of 210, 225, 153, 385 on a calculator?
You can find the GCD of 210, 225, 153, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.