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 356, 514, 225, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 514, 225, 222 is 1
GCD(356, 514, 225, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 514, 225, 222 is 1
GCD(356, 514, 225, 222) = 1
Given Input numbers are 356, 514, 225, 222
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
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 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 356, 514, 225, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 514, 225, 222 is 1.
Therefore, GCD of numbers 356, 514, 225, 222 is 1
Given Input Data is 356, 514, 225, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 514 is 2 x 257
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 222 is 2 x 3 x 37
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(356, 514) = 91492
GCD(356, 514) = ( 356 x 514 ) / 91492
GCD(356, 514) = 182984 / 91492
GCD(356, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
GCD(2, 225) = 450 / 450
GCD(2, 225) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 356, 514, 225, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 514, 225, 222?
GCD of 356, 514, 225, 222 is 1
2. Where do I get the detailed procedure to find GCD of 356, 514, 225, 222?
You can find a detailed procedure to find GCD of 356, 514, 225, 222 on our page.
3. How to find GCD of 356, 514, 225, 222 on a calculator?
You can find the GCD of 356, 514, 225, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.