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 131, 280, 221, 330 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 280, 221, 330 is 1
GCD(131, 280, 221, 330) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 280, 221, 330 is 1
GCD(131, 280, 221, 330) = 1
Given Input numbers are 131, 280, 221, 330
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
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 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Greatest Common Divisior
We found the divisors of 131, 280, 221, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 280, 221, 330 is 1.
Therefore, GCD of numbers 131, 280, 221, 330 is 1
Given Input Data is 131, 280, 221, 330
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 221 is 13 x 17
Prime Factorization of 330 is 2 x 3 x 5 x 11
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(131, 280) = 36680
GCD(131, 280) = ( 131 x 280 ) / 36680
GCD(131, 280) = 36680 / 36680
GCD(131, 280) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 330
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 330) = 330
GCD(1, 330) = ( 1 x 330 ) / 330
GCD(1, 330) = 330 / 330
GCD(1, 330) = 1
GCD of 131, 280, 221, 330 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 280, 221, 330?
GCD of 131, 280, 221, 330 is 1
2. Where do I get the detailed procedure to find GCD of 131, 280, 221, 330?
You can find a detailed procedure to find GCD of 131, 280, 221, 330 on our page.
3. How to find GCD of 131, 280, 221, 330 on a calculator?
You can find the GCD of 131, 280, 221, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.