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 107, 210, 588, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 210, 588, 323 is 1
GCD(107, 210, 588, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 210, 588, 323 is 1
GCD(107, 210, 588, 323) = 1
Given Input numbers are 107, 210, 588, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 107, 210, 588, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 210, 588, 323 is 1.
Therefore, GCD of numbers 107, 210, 588, 323 is 1
Given Input Data is 107, 210, 588, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 323 is 17 x 19
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(107, 210) = 22470
GCD(107, 210) = ( 107 x 210 ) / 22470
GCD(107, 210) = 22470 / 22470
GCD(107, 210) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 107, 210, 588, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 210, 588, 323?
GCD of 107, 210, 588, 323 is 1
2. Where do I get the detailed procedure to find GCD of 107, 210, 588, 323?
You can find a detailed procedure to find GCD of 107, 210, 588, 323 on our page.
3. How to find GCD of 107, 210, 588, 323 on a calculator?
You can find the GCD of 107, 210, 588, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.