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 381, 280, 343, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 280, 343, 221 is 1
GCD(381, 280, 343, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 280, 343, 221 is 1
GCD(381, 280, 343, 221) = 1
Given Input numbers are 381, 280, 343, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
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 381, 280, 343, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 280, 343, 221 is 1.
Therefore, GCD of numbers 381, 280, 343, 221 is 1
Given Input Data is 381, 280, 343, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 343 is 7 x 7 x 7
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(381, 280) = 106680
GCD(381, 280) = ( 381 x 280 ) / 106680
GCD(381, 280) = 106680 / 106680
GCD(381, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 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 381, 280, 343, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 280, 343, 221?
GCD of 381, 280, 343, 221 is 1
2. Where do I get the detailed procedure to find GCD of 381, 280, 343, 221?
You can find a detailed procedure to find GCD of 381, 280, 343, 221 on our page.
3. How to find GCD of 381, 280, 343, 221 on a calculator?
You can find the GCD of 381, 280, 343, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.