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 221, 346, 341, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 346, 341, 588 is 1
GCD(221, 346, 341, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 346, 341, 588 is 1
GCD(221, 346, 341, 588) = 1
Given Input numbers are 221, 346, 341, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 221, 346, 341, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 346, 341, 588 is 1.
Therefore, GCD of numbers 221, 346, 341, 588 is 1
Given Input Data is 221, 346, 341, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 346 is 2 x 173
Prime Factorization of 341 is 11 x 31
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(221, 346) = 76466
GCD(221, 346) = ( 221 x 346 ) / 76466
GCD(221, 346) = 76466 / 76466
GCD(221, 346) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 221, 346, 341, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 346, 341, 588?
GCD of 221, 346, 341, 588 is 1
2. Where do I get the detailed procedure to find GCD of 221, 346, 341, 588?
You can find a detailed procedure to find GCD of 221, 346, 341, 588 on our page.
3. How to find GCD of 221, 346, 341, 588 on a calculator?
You can find the GCD of 221, 346, 341, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.