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 227, 380, 496, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 227, 380, 496, 802 is 1
GCD(227, 380, 496, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 227, 380, 496, 802 is 1
GCD(227, 380, 496, 802) = 1
Given Input numbers are 227, 380, 496, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 227, 380, 496, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 380, 496, 802 is 1.
Therefore, GCD of numbers 227, 380, 496, 802 is 1
Given Input Data is 227, 380, 496, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 227 is 227
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 802 is 2 x 401
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(227, 380) = 86260
GCD(227, 380) = ( 227 x 380 ) / 86260
GCD(227, 380) = 86260 / 86260
GCD(227, 380) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 227, 380, 496, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 227, 380, 496, 802?
GCD of 227, 380, 496, 802 is 1
2. Where do I get the detailed procedure to find GCD of 227, 380, 496, 802?
You can find a detailed procedure to find GCD of 227, 380, 496, 802 on our page.
3. How to find GCD of 227, 380, 496, 802 on a calculator?
You can find the GCD of 227, 380, 496, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.