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 214, 284, 909, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 284, 909, 357 is 1
GCD(214, 284, 909, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 284, 909, 357 is 1
GCD(214, 284, 909, 357) = 1
Given Input numbers are 214, 284, 909, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 214, 284, 909, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 284, 909, 357 is 1.
Therefore, GCD of numbers 214, 284, 909, 357 is 1
Given Input Data is 214, 284, 909, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 357 is 3 x 7 x 17
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(214, 284) = 30388
GCD(214, 284) = ( 214 x 284 ) / 30388
GCD(214, 284) = 60776 / 30388
GCD(214, 284) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
GCD(2, 909) = 1818 / 1818
GCD(2, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 214, 284, 909, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 284, 909, 357?
GCD of 214, 284, 909, 357 is 1
2. Where do I get the detailed procedure to find GCD of 214, 284, 909, 357?
You can find a detailed procedure to find GCD of 214, 284, 909, 357 on our page.
3. How to find GCD of 214, 284, 909, 357 on a calculator?
You can find the GCD of 214, 284, 909, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.