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 665, 221, 329, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 665, 221, 329, 414 is 1
GCD(665, 221, 329, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 665, 221, 329, 414 is 1
GCD(665, 221, 329, 414) = 1
Given Input numbers are 665, 221, 329, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 665, 221, 329, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 221, 329, 414 is 1.
Therefore, GCD of numbers 665, 221, 329, 414 is 1
Given Input Data is 665, 221, 329, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 221 is 13 x 17
Prime Factorization of 329 is 7 x 47
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(665, 221) = 146965
GCD(665, 221) = ( 665 x 221 ) / 146965
GCD(665, 221) = 146965 / 146965
GCD(665, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 665, 221, 329, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 665, 221, 329, 414?
GCD of 665, 221, 329, 414 is 1
2. Where do I get the detailed procedure to find GCD of 665, 221, 329, 414?
You can find a detailed procedure to find GCD of 665, 221, 329, 414 on our page.
3. How to find GCD of 665, 221, 329, 414 on a calculator?
You can find the GCD of 665, 221, 329, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.