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, 451, 838, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 451, 838, 221 is 1
GCD(356, 451, 838, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 451, 838, 221 is 1
GCD(356, 451, 838, 221) = 1
Given Input numbers are 356, 451, 838, 221
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 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 356, 451, 838, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 451, 838, 221 is 1.
Therefore, GCD of numbers 356, 451, 838, 221 is 1
Given Input Data is 356, 451, 838, 221
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 451 is 11 x 41
Prime Factorization of 838 is 2 x 419
Prime Factorization of 221 is 13 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(356, 451) = 160556
GCD(356, 451) = ( 356 x 451 ) / 160556
GCD(356, 451) = 160556 / 160556
GCD(356, 451) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 356, 451, 838, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 451, 838, 221?
GCD of 356, 451, 838, 221 is 1
2. Where do I get the detailed procedure to find GCD of 356, 451, 838, 221?
You can find a detailed procedure to find GCD of 356, 451, 838, 221 on our page.
3. How to find GCD of 356, 451, 838, 221 on a calculator?
You can find the GCD of 356, 451, 838, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.