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 553, 365, 787, 228 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 365, 787, 228 is 1
GCD(553, 365, 787, 228) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 365, 787, 228 is 1
GCD(553, 365, 787, 228) = 1
Given Input numbers are 553, 365, 787, 228
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Greatest Common Divisior
We found the divisors of 553, 365, 787, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 365, 787, 228 is 1.
Therefore, GCD of numbers 553, 365, 787, 228 is 1
Given Input Data is 553, 365, 787, 228
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 365 is 5 x 73
Prime Factorization of 787 is 787
Prime Factorization of 228 is 2 x 2 x 3 x 19
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(553, 365) = 201845
GCD(553, 365) = ( 553 x 365 ) / 201845
GCD(553, 365) = 201845 / 201845
GCD(553, 365) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 228
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
GCD(1, 228) = 228 / 228
GCD(1, 228) = 1
GCD of 553, 365, 787, 228 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 365, 787, 228?
GCD of 553, 365, 787, 228 is 1
2. Where do I get the detailed procedure to find GCD of 553, 365, 787, 228?
You can find a detailed procedure to find GCD of 553, 365, 787, 228 on our page.
3. How to find GCD of 553, 365, 787, 228 on a calculator?
You can find the GCD of 553, 365, 787, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.