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 821, 226, 733, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 226, 733, 357 is 1
GCD(821, 226, 733, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 226, 733, 357 is 1
GCD(821, 226, 733, 357) = 1
Given Input numbers are 821, 226, 733, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
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 821, 226, 733, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 226, 733, 357 is 1.
Therefore, GCD of numbers 821, 226, 733, 357 is 1
Given Input Data is 821, 226, 733, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 226 is 2 x 113
Prime Factorization of 733 is 733
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(821, 226) = 185546
GCD(821, 226) = ( 821 x 226 ) / 185546
GCD(821, 226) = 185546 / 185546
GCD(821, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 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 821, 226, 733, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 226, 733, 357?
GCD of 821, 226, 733, 357 is 1
2. Where do I get the detailed procedure to find GCD of 821, 226, 733, 357?
You can find a detailed procedure to find GCD of 821, 226, 733, 357 on our page.
3. How to find GCD of 821, 226, 733, 357 on a calculator?
You can find the GCD of 821, 226, 733, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.